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{MPLTEXT 1 0 26 "premiers_termes(10,1024.);" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6-$\"%C5\"\"!$\"S+++++++++++++++++++++++Z:!#Y$\"SP#pKj3Ud
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"premiers_termes_bis:=proc(n,v0)\nlocal i,v,s;\nv:=v0:s:=v:\nfor i fro
m 1 to n do v:=v^2/(1+v^2):s:=s,v od;\nRETURN(s) end;" }}{PARA 12 "" 
1 "" {XPPMATH 20 "6#>%4premiers_termes_bisGf*6$%\"nG%#v0G6%%\"iG%\"vG%
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{MPLTEXT 1 0 28 "premiers_termes_bis(5,1515);" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6(\"%::#\"(D_H#\"(E_H##\".D1!y0o_\"/,<>?h`5#\";D1R]A\"fs!
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Z$R/-)p=6-k=Dmv/G;D+##\"aqD1*G'>,cAlg:&Q^733]HvVg(4q&4N&>o]`C@]NY(**>w
b)f9g6aeC/Kf\"dqE#>#o-C=Tb[RditH\\?4hz2Khgo3;<mn$)=%R<c!4rp8$*y4NMiGg
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "Digits:=10:premiers_termes_b
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**!#5$\"+?y****\\F($\"+0')****>F($\"+)o[h%Q!#6$\"+=45x9!#7$\"+hB#==#!#
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{PARA 3 "" 0 "" {TEXT -1 11 "Exercice 11" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 24 "asympt(n*(n^(1/n)-1),n);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,.-%#lnG6#%\"nG\"\"\"*(#F(\"\"#F(F$F+F'!\"\"F(*(#F(\"\"
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-%#lnG6#%\"nG\"\"\"-%\"OG6#*&F(F(F'!\"\"F(" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 36 "asympt(sqrt(n^2+1789*n+1515)-n,n,1);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#,&#\"%*y\"\"\"#\"\"\"-%\"OG6#*&F'F'%\"nG!\"\"F'
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "asympt((n^1515+1789)^(1
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{MPLTEXT 1 0 25 "asympt(sum(k!,k=1..n),n);" }}{PARA 8 "" 1 "" {TEXT 
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" 1 "" {XPPMATH 20 "6#,&*&%&alphaG\"\"#%\"nG!\"##\"\"\"F&-%\"OG6#*&F*F
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*#\"\"\"\"\"#F%*&#\"\"&\"#CF%*&F%F%*$)%\"nGF&F%!\"\"F%F/*&#F%\"$S#F%F.
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{MPLTEXT 1 0 38 "asympt(tan(sin(1/n))-sin(tan(1/n)),n);" }}{PARA 11 "
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "asympt(tan(sin(1/n))-sin(tan
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\"(F%!\"\"#F%\"#I-%\"OG6#*&F%F%*$)F(\"\")F%F*F%" }}}}{SECT 0 {PARA 3 "
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{MPLTEXT 1 0 19 "sum(k^1515,k=0..n);" }}{PARA 7 "" 1 "" {TEXT -1 33 "W
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{MPLTEXT 1 0 17 "sum(k^20,k=0..n);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#
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&\"\"$F()F&\"#>F(F(*&#F7F-F(*$)F&\"#<F(F(F1*&#\"%#H\"F)F()F&\"#:F(F(*&
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{MPLTEXT 1 0 29 "asympt(Sum(k^1515,k=0..n),n);" }}}{EXCHG {PARA 0 "> \+
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{XPPMATH 20 "6#,.*$)%\"nG\"$,&\"\"\"#F(F'*&#F(\"\"#F()F&\"$+&F(F(*&#\"
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" 0 "" {TEXT -1 20 "O\371 Maple m'\351tonne..." }}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 49 "limit(sum(1/(k*(ln(k)+1024)),k=1..n),n=infinity)
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 " 0 "" {MPLTEXT 1 0 43 "asympt(sum(1/(k*(ln(k)+1024)),k=1..n),n,1);" 
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{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 80 "u:=n->n^(ln(n)^2):v:=n->(n^2
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{PARA 260 "" 0 "" {TEXT -1 8 "Ainsi,  " }{TEXT -1 13 "alpha << beta" }
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