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Limites usuelles des fonctions puissances
Soit n un entier naturel non nul. Alors :
lim x 2 n = +oo
X-t-oo
lim x 2 n = o+
X-+0"'
lim x2n+1 = - oo
X-t-oo
lim x 2 n+l = o•
X-tO+
lim x- 2 n = o+
X -+- 00
lim x- 2 n = +oo
X4 0"*
lim x- 2 n- 1 = ox-+-oo
lim x- 2 n- l = +oo
X-tO•
lim x 2 n = +oo
X-t+oo
lim x 2 n = o+
x ... olim x 2 n+l = +oo
X-t+oo
x--+Olim x 2 n = o+
X-t +OO
lim x- 2 n = + oo
X-+Olim x- 2 n- 1 = o+
X-t+oo
lim x- 2 n - 1 = - oo
x-.o475
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a.
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0
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-ci
0
<=
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Limites usuelles des fonctions puissances
Soit n un entier naturel non nul. Alors :
lim x 2 n = +oo
X-t-oo
lim x 2 n = o+
X-+0"'
lim x2n+1 = - oo
X-t-oo
lim x 2 n+l = o•
X-tO+
lim x- 2 n = o+
X -+- 00
lim x- 2 n = +oo
X4 0"*
lim x- 2 n- 1 = ox-+-oo
lim x- 2 n- l = +oo
X-tO•
lim x 2 n = +oo
X-t+oo
lim x 2 n = o+
x ... olim x 2 n+l = +oo
X-t+oo
x--+Olim x 2 n = o+
X-t +OO
lim x- 2 n = + oo
X-+Olim x- 2 n- 1 = o+
X-t+oo
lim x- 2 n - 1 = - oo
x-.o475
