{VERSION 6 0 "IBM INTEL NT" "6.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 
0 0 1 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 2 0 1 0 0 0 0 0 0 
1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 
0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 1 1 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 261 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
262 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 266 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
267 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 276 "" 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
277 "" 1 24 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 
0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times
" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 1 0 1 0 2 2 0 1 }
{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 
2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 
256 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 
0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 257 1 {CSTYLE "" -1 -1 "T
imes" 1 12 0 0 0 1 1 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }
{PSTYLE "Normal" -1 258 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 2 2 
2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 259 1 
{CSTYLE "" -1 -1 "Times" 1 10 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 
0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 260 1 {CSTYLE "" -1 -1 "Times" 
1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }
{PSTYLE "Normal" -1 261 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 
2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 
262 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 
0 0 8 2 1 0 1 0 2 2 0 1 }{PSTYLE "Bullet Item" -1 263 1 {CSTYLE "" -1 
-1 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 3 3 1 0 1 0 2 2 
15 2 }{PSTYLE "Normal" -1 264 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 
1 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "zakyn" 264 
265 1 {CSTYLE "" -1 -1 "" 0 0 0 0 0 0 2 2 2 0 0 1 0 0 0 0 }0 0 0 -1 
-1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 265 266 1 {CSTYLE "" -1 -1 "" 0 1 
0 0 0 0 0 1 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }}
{SECT 0 {EXCHG {PARA 265 "" 0 "" {TEXT 277 35 "Matematick\351 v\375po
\350ty se syst\351m Maple" }}}{EXCHG {PARA 266 "" 0 "" {TEXT -1 77 "au
tor:  Ing. Vladim\355r \216\341k\n  email:  zakyn@centrum.cz\n        \+
         web:   " }{URLLINK 17 "www.vladimirzak.com/maple" 4 "www.vlad
imirzak.com/maple" "" }}{PARA 265 "" 0 "" {TEXT -1 0 "" }}{PARA 265 "
" 0 "" {TEXT -1 12 "            " }{TEXT 275 9 "recenzent" }{TEXT -1 
3 ":  " }{TEXT 274 31 "Prof. RNDr. Ji\370\355 H\370eb\355\350ek, CSc.
" }}{PARA 265 "" 0 "" {TEXT -1 48 "CENTRUM BIOSTATISTIKY A ANAL\335Z (
CBA LF a P\370F MU)" }}{PARA 265 "" 0 "" {TEXT -1 43 "L\351ka\370sk
\341 a P\370\355rodov\354deck\341 fakulta MU v Brn\354" }}{PARA 265 "
" 0 "" {TEXT -1 20 "hrebicek@cba.muni.cz" }}{PARA 265 "" 0 "" {TEXT 
-1 0 "" }}}{EXCHG {PARA 265 "" 0 "" {TEXT -1 478 "Tento dokument je ur
\350en jen pro v\375ukov\351 \372\350ely a pro pou\236it\355 jen osoba
mi, kter\375m byl tento dokument poskytnut p\370\355mo autorem, pop
\370. si ho st\341hli z webov\351ho s\355dla autora. Jak\351koliv \350
\341sti dokumentu nen\355 mo\236n\351 pou\236\355t bez citace zdoje, t
edy n\341zvu dokumentu a jm\351na autora s kontaktn\355mi informacemi \+
(jak je zobrazeno v hlavi\350ce), kter\341 mus\355 b\375t autorovi sd
\354lena. Pro jin\351 pou\236it\355 ne\236 pro osobn\355 pot\370eby os
ob, tedy pro distribuci \350i kop\355rov\341n\355, je nutn\351 obdr
\236et p\355semn\375 souhlas autora. " }}{PARA 265 "" 0 "" {TEXT -1 0 
"" }}{PARA 265 "" 0 "" {TEXT -1 0 "" }{TEXT 276 59 "Soubor vznikl s po
dporou grantov\351ho projektu FRV\212 3323/2006" }{TEXT -1 0 "" }}}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 35 "Limita fu
nkce jedn\351 re\341ln\351 prom\354nn\351" }}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 74 "Limita funkce je jedna ze z\341kladn\355ch a nejd\371le
\236it\354j\232\355ch vlastnost\355 funkce." }}{PARA 0 "" 0 "" {TEXT 
-1 39 "P\370\355kaz, kter\375m se po\350\355t\341 limita funkce " }
{TEXT 256 4 "f(x)" }{TEXT -1 7 " v bod\354" }{TEXT 257 5 " x=x0" }
{TEXT -1 8 " m\341 tvar" }}{PARA 0 "" 0 "" {TEXT 258 16 "limit(f(x),x=
x0)" }}{PARA 0 "" 0 "" {TEXT -1 46 "Pro matematick\375 z\341pis limity
 se u\236\355v\341 p\370\355kazu " }{TEXT 267 5 "Limit" }{TEXT -1 23 "
 se stejn\375mi parametry." }}{PARA 0 "" 0 "" {TEXT -1 68 "Pro v\375po
\350ty limity zleva \350i zprava se u\236\355vaj\355 n\341sleduj\355c
\355 konstrukce" }}{PARA 0 "" 0 "" {TEXT 259 21 "limit(f(x),x=x0,left)
" }{TEXT -1 30 "                - limita zleva" }}{PARA 0 "" 0 "" 
{TEXT 260 22 "limit(f(x),x=x0,right)" }{TEXT -1 28 "             - lim
ita zprava" }}{PARA 0 "" 0 "" {TEXT -1 13 "M\355sto funkce " }{TEXT 
268 4 "f(x)" }{TEXT -1 49 " lze p\370\355mo pou\236\355t v\375raz pro \+
v\375po\350et jej\355 hodnoty." }}{PARA 0 "" 0 "" {TEXT -1 72 "V p\370
\355pad\354, \236e syst\351m Maple neum\355 spo\350\355st hodnotu limi
ty, p\370ejde na nov\375 " }{TEXT 261 6 "prompt" }{TEXT -1 2 ". " }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 8 "Hodnota " 
}{TEXT 262 2 "x0" }{TEXT -1 31 ", ke kter\351mu se bl\355\236\355 prom
\354nn\341 " }{TEXT 263 1 "x" }{TEXT -1 44 ", m\371\236e b\375t libovo
ln\351 re\341ln\351 \350\355slo, v\375raz,  +" }{XPPEDIT 18 0 "infinit
y;" "6#%)infinityG" }{TEXT -1 9 "   nebo -" }{XPPEDIT 18 0 "infinity;
" "6#%)infinityG" }{TEXT -1 12 " . Pokud je " }{OLE 1 4143 1 "[xm]Br=W
foRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::fyyyyya:nYf::G:jy;:::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::JcvGYMt>^:fBWMtNHm=;:::::::n<Ejyyiy=C:Abm?Z:>:;`:Z@[::JRQyu=lfln]A
j;J:QZ:B:F:YLpfF>:::::::::J?NZ;vyyyyyY:vYxY:B:::::::c:;:ElrfH=MtFGYMq>
>Wlj:gmlJ::::::>>?jyyiy=J:B::::::F:;j>@:<:=j[vGUMrvC?MoJ::::::::JCN:ry
:>:<::::::E:MM:>:nyyM;B:AB:;J<JAJ=JyK>j><:OJ:V;;J@j@>:YJ:nY><;jBJC>:a:
c:e:wAyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::=Z<B:<::::::::j:>Z:>:^=N:WSjUA;St_:;JLnNkIt_j<@Z?BKaTMcTG<jCXo
ntpZlPpDnjHqnHp[xPlPPb@pmPpsF\\?^dcgg_WhZnc_whZNdigg[oG]r:aTXUeRYEU@k<
HnqPQs`plDQJtnl>ZK^ZG_dZfbr_hlGF_J>@lQPnAMnQ@NbLYBxj]xoZ<OsyKI@NbLyDxj
Z<JtQNtQLtyR[xoZB>Hni@>YVKciDyDLcy]=D:<[:_xIHby?cnA\\IFbdve>we?_xYgB@n
Alj:F:=b:?b:?B:?j:@j:V:=J<b<=B:?j;]a=r@V[;b:\\RR>Z;FZ:N[<^Z@hAuc:Cb[]o
:<Jyyy;d:yayYZHQ:>:;`:Z@o<;j`@Pt\\Pd`QrPPJPMQ<MJPnrPqjLqnxPq^;<:Z_SKGl
Aj\\@AJQLncp^nBwmcf]=;:::::jysyAB:^:<j:<J:vYxY;J:j^Q:qe:^]=B:=j>r:WV:N
:?^:>:EJ:<J;@J;vCS=[LsfFaMR>`:J:<:::::::>=?R:=J:<J;<J:vYxY:B::::::v:<J
iH:<:=ja:;B:;:::::::::N[:B:yay=J:B::::::nYyA<::::::::::::jysy:>:<:::::
::::::::::::::vYxI:;Z::::::::j:>:E:=b:yyyyq<JQ@jFB:E:Qb:B:E:Sb:;d:;T;a
:Gc;YJHvyyuy;B:UD:[Z:>ryMMyyyyY:P:GY:<j?<:G;Sj`@@J:>f:f:<j>DZ:b:E:cb:A
Y:[QH<J:<jwEJKxI;B:>l;J:<Z<>ZJ^dcgg_;<<ng:vp?yrq?r?yrq?^:Qsq?:[K<jP@:M
B:;JSd:<j:<Z:>`s_q;f:^<;V:SLHjw?jx]:JBAj:J:D::::>RXQJJ:B:jPF:C:[Y:F;;J
SZ:F:<Jv`a=fZ:JDJiAJHjw;<:[V:;Z;b:VdscRYEUXQZB:]C<OrdiWkIPZsW;;;:jP>:C
:]g:Cb[wbBEO:VHsLK>:imnnGCmnNHuk[Na:^Eil^nCClavDa\\:>::yuJ[Y:^;;JSd:<j
;<:uSfEG]SS:_`=NJ<JMjvgc[;PpdPopgZ;Z>[oB:a:l@::F<c\\_WHW<:]:UeRY]KrJ:J
::E<=MC>;Y;Bw[j]BN_ALyDB:P>:<[=SJvk?cDr]<ZJBJFby?C[r==liZYgB@>j:DJ;NZ:
N:=j:V:=J<b<=B:VJ;ZUj?@J:B\\>Z;FZ:N;fAjRGp<JIJ:<j?<:G;Sjysy=Z:>:^=<jw?
<IZ:>:sg:buDJ;Dlc`qsLqlp@<J?<jJNk;B:<j:<J:^voQ<mWjIxWCJ:<jPF:C:[AAB:;B
:;:::Ja@Na`><:j;J:::JTtybu_:^h=KLHN:Nb=wxLNuwHaHXvvHaHXvvVodPwyZ:NhVvd
:_svItXkwH^:f]=C:StJ;J:<nOeTOtudPot<N`mI:C;[tJ<J:>:;:;FJgEq]hQmyp]hQMJ
:>:V:>:::^@::::::::2:" }{TEXT -1 138 " ,  jde o limitu v nevlastn\355m
 bod\354. Samoz\370ejm\354  se zde po\350\355t\341 limita zleva pop
\370. zprava. V\375sledn\341 hodnota  m\371\236e b\375t re\341ln\351 \+
\350\355slo, symbol, " }{OLE 1 4145 1 "[xm]Br=WfoRrB:::wk;nyyI;G:;:j::
>:B>N:F:nyyyyy]::yyyyyy:::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::fyyyyya:nYf::G:jy;::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::JcvGYMt>^:fBWMtNHm=
;:::::::n<Ejyyiy=A:Abm?Z:>:;`:Z@[::JRQyu=lfln]Aj;JZLZ:B:fB]mtFFcmnvGWM
JnC==nHE=;:::::JJNZ;^:vYxI>:<::::::JpK:j:vCSmlJ::::::::::OJ;@jyyyyyI:;
Z::::::j<>:c:;:=j[vGUMrvC?MoJ::::::::JCNZ;N:;B:=J:vYxY:B::::::^:FG;J:j
:J;<:AB:;JyyIG:Jyyyy?;F;N;;j?>:S:UJ:n;v;;JBB:wAyA:::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::^=N:mRj[`:>adQ<>:s
LM?\\dQ<ER:PZ>WdG_doB:arOMeU=DUSeJ=uVMuRAtUCUS[TRIUSamBPJd`ppPps<LaPpu
<Lcxpp@PqF\\=Vdsgg\\wgfS>ErJYUW_UTEeV;cMEM:@K<pNd<l\\\\QtDqjN<KRBYSKYF
KYSJ[Dw[r=ItQ=DN_yAwRJ[Dwer==D:cYKcYCcy]?tQ=\\JrJyTJvk?_xdveB_xIHb:B><
NtyrZxQ^LYBxjZdliLniPNtyo\\RJYB==j:FZ<NZ<NZ:NZ:FZ;F:Aj:^:dj:<J;LJ=AekP
Z>njXN^_D:;B\\[[;FZ:N[<^Z@hAuc:Cb[]o:<Jyyy;d:yayYZHQ:>:;`:Z@o<;j`@Pt\\
Pd`QrPPJPMQ<MJPnrPqjLqnxPq^;<:j:b:<Z:::NZ>bAR:=J?>Z=pF?J;]\\<>Z=@i:N:?
VDDJ<fAHZQ><=B:[US;SKGlAj\\@AJQLncp^nBwmcf]]:>::DJ:HRmN:?FDrZk=?VD<Z:v
Yxy;<:CZ:F:;jysy?:;:wf:vn;B:_c:<j:F;HjF@:?jsJ:f:;J;@J;vCS=[LsfFaMR>`:J
:<:::::::>=?jyyiy=J:B::::::v:<JtD:;B:F:Y<>Z:>:::::::::J?<Z:vYxI:;Z::::
::JywYB:::::::::::::yay=J:B:::::::::::::::::::jysy:>:<::::::::=J:<j<j:
Djyyyyg:n_;F=<j<j?DZ:B:E:Sb:;V:;e:a:Gc;YJHvyyuy;B:UD:[Z:>ryMmyyyyYJDJ:
<Jm@Z:V[:JMJ@fc[Kd>h_?:;k<B:Mb:>Z<f:^\\<>b;NAsJ:<jwEJ:uI<:[V:>Z;>Z<B>a
TXUmql`q?B<jg\\J?`mUQv]YQZQv]YQJ<V_YQ:<JR^:f_;J?JSd:<J;<J:Fp_PTHjsB:G;
sp`:PpdPObgZ;Z>[oB:aZhCU:::c\\_KaBBJq<:fg\\wG@[=;:;:fBFF_J>v?ZnA<I\\JO
XBweZ:RK:B>H^;kAQ^dZID:<[:kZxQ^>\\IFBZYgB@>j:DJ;NZ:N:=j:V:=J<b<=B:LZkT
fnjXRc<j?:^;yayI:;B:;:sZ:VY[j=>Z:>:sg:>ZhIZ<NZ\\VdsWhngfg[:N[:F>OV:<Z:
vYxYxUYCFq;yrq_:;B:Uk:^:>x;B:AB:;B:;:::Ja@Na`><:::::::::::::::::::^fpC
<>Z::wryyBBA;s:I:A:=Z:f;ND^QB:>F<JjB:;C:syyyJJ>Z:r?B:;KL<ZBJh]:Ou:vjt[
:BZKJ:<J:jyAZ:C:xyjl`BZ:^v;Jr@:C:A[:n;>::s?;B:tx;Dj:DKdFGUmlVH;Ka<jlvH
;C:_lqfG=Mqj[fB;B:;::::JdFGfFa=W<i=_<FFJt<jtf[;nGMQ:>:::::::::::::::::
::::4:" }{TEXT -1 28 " nebo nemus\355 b\375t definov\341na." }}{PARA 
0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 20 "P\370i pou\236i
t\355 p\370\355kazu " }{TEXT 266 5 "limit" }{TEXT -1 172 " v\232ak m
\371\236e b\375t v\375sledkem v\375po\350tu i interval. Znamen\341 to,
 \236e funkce nem\341 v dan\351m bod\354 limitu nebo ji nelze ur\350it
, ale je zn\341mo, ve kter\351m intervalu le\236\355 funk\350n\355 hod
noty pro " }{TEXT 264 1 "x" }{TEXT -1 14 " bl\355\236\355c\355 se k " 
}{TEXT 265 2 "x0" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 87 "Limit(((x^3+7)^(1/3)-sqrt(x+3))/(x-1),x=1)\n=limit(((
x^3+7)^(1/3)-sqrt(x+3))/(x-1),x=1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#/-%&LimitG6$*&,&*$),&*$)%\"xG\"\"$\"\"\"F0\"\"(F0#F0F/F0F0*$,&F.F0F/F
0#F0\"\"#!\"\"F0,&F.F0F0F7F7/F.F0\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 97 "Limit(ln(2+exp(3*x))/ln(3+exp(2*x)),x=infinity)\n=lim
it(ln(2+exp(3*x))/ln(3+exp(2*x)),x=infinity);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#/-%&LimitG6$*&-%#lnG6#,&\"\"#\"\"\"-%$expG6#,$*&\"\"$F-
%\"xGF-F-F-F--F)6#,&F3F--F/6#,$*&F,F-F4F-F-F-!\"\"/F4%)infinityG#F3F,
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "Limit(((x-1)/(x+1))^x,x
=infinity)=limit(((x-1)/(x+1))^x,x=infinity);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#/-%&LimitG6$)*&,&%\"xG\"\"\"F+!\"\"F+,&F*F+F+F+F,F*/F*%
)infinityG-%$expG6#!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 83 "
Limit(cos(1/x)^2,x=0)=limit(cos(1/x)^2,x=0);   # limita neexistuje, fu
nkce osciluje" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%&LimitG6$*$)-%$cos
G6#*&\"\"\"F-%\"xG!\"\"\"\"#F-/F.\"\"!;F2F-" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 62 "K d\371kazu neexistence limity m\371\236eme pou\236\355
t jednostrann\375ch limit" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
52 "Limit(tan(x),x=Pi/2,left)=limit(tan(x),x=Pi/2,left);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#/-%&LimitG6%-%$tanG6#%\"xG/F*,$*&\"\"#!\"\"%#PiG
\"\"\"F1%%leftG%)infinityG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
54 "Limit(tan(x),x=Pi/2,right)=limit(tan(x),x=Pi/2,right);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#/-%&LimitG6%-%$tanG6#%\"xG/F*,$*&\"\"#!\"\"%
#PiG\"\"\"F1%&rightG,$%)infinityGF/" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 42 "Limit(tan(x),x=Pi/2)=limit(tan(x),x=Pi/2);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#/-%&LimitG6$-%$tanG6#%\"xG/F*,$*&\"\"#!\"\"%
#PiG\"\"\"F1%*undefinedG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 
"f:=x->sin(1/x)/x;                 # definice funkce" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\"6$%)operatorG%&arrowGF(*&-%$sinG6#
*&\"\"\"F19$!\"\"F1F2F3F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 32 "Limit(f(x),x=0)=limit(f(x),x=0);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#/-%&LimitG6$*&-%$sinG6#*&\"\"\"F,%\"xG!\"\"F,F-F./F-\"\"!%*undef
inedG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}}{MARK "3 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
{PAGENUMBERS 0 1 2 33 1 1 }