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F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$F$
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{PARA 3 "" 0 "" {TEXT -1 16 "Sommes de s\351ries" }}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 11 "Digits:=25;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%'DigitsG\"#D" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "sum(1/((
3*k+2)*(3*k+5)),k=0..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"
\"\"\"\"'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "Il est fort, non ?" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "l:=sum(1/((k^4)*(k+1)^4),
k=1..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"lG,(!#N\"\"\"*$
)%#PiG\"\"%\"\"\"#F'\"#X*$)F*\"\"#F,#\"#5\"\"$" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 20 "Encore plus fort ..." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 9 "evalf(l);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"7I![7^
!oQ/yKj!#B" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 60 "On peut avoir une v
aleur approch\351e \340 la pr\351cision voulue ..." }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 43 "evalf(sum(1/(k^4*(k+1)^4),k=11..infinity));
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{MPLTEXT 1 0 43 "evalf(sum(1/(k^4*(k+1)^4),k=21..infinity));" }}{PARA 
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prat:=evalf(sum(1/(k^4*(k+1)^4),k=101..infinity));" }}{PARA 11 "" 1 "
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{MPLTEXT 1 0 25 "theo:=evalf(1/(7*100^7));" }}{PARA 11 "" 1 "" 
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?qR:N%*f-$))Hs5!#C" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "La converge
nce est bien en 1/N^7 ..." }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{MARK 
"3 2 0 0" 12 }{VIEWOPTS 1 1 0 1 1 1803 }