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{EXCHG {PARA 0 "" 0 "" {TEXT -1 93 "Il semblerait qu'il n'y ait qu'un \+
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" {TEXT -1 412 "Les suites extraites d'indices pairs et impairs semble
nt respectivement croissante et d\351croissante (on le prouverait comm
e pour u) et  localis\351es dans [0,1], d'o\371 les convergences. Par \+
contre, il semblerait que leurs limites l1 et l2 soient diff\351rentes
. Elles sont solutions de l'\351quation g(g(x))=x. Ici encore, l'uniqu
e X tel que g(X)=X v\351rifie \351galement g(g(X))=X, mais on va voir \+
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0 "> " 0 "" {MPLTEXT 1 0 14 "diff(f(x),x);;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#*&-%$expG6#*$)%\"xG\"\"#\"\"\"F+-F%6#,$*$)-%'RootOfG6#,
(*&-%$erfG6#%#_ZGF+-%%sqrtG6#%#PiGF+!\"\"*&F:F+-F76#*&^#F+F+F)F+F+F+^#
F*F+F*F+F>F>" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 9 "Mouais..." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "asympt(f(x),x);" }}{PARA 8 "
" 1 "" {TEXT -1 44 "Error, (in asympt) unable to compute series\n" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 "Tout de meme..." }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 19 "simplify(f(-f(x)));" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#*&^#!\"\"\"\"\"-%'RootOfG6#,(*&-%$erfG6#%#_ZGF&-%%sqrtG
6#%#PiGF&F%*&F0F&-F-6#-F(6#,(F+F%*&F0F&-F-6#*&^#F&F&%\"xGF&F&F&^#\"\"#
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17$$\"*U9C#eF-$!+@WTAeF17$$\"*1*3`iF-$!+g!*3`iF17$$\"*$*zym'F-$!+I*zym
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LTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1
" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 206 "On peut effectivement montr
er que f(-f(x))=-x. Cela montre que si (x,y) est sur le graphe de f, a
lors (-y,-x) l'est aussi : le graphe de f pr\351sente donc une sym\351
trie par rapport \340 la droite d'\351quation y=-x." }}}}}{MARK "3 2 0
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