作者ntust661 (Auf Wiedersehen!)
看板Grad-ProbAsk
标题Re: [商管] [微积分] 两题微积分
时间Thu Feb 4 16:58:19 2010
: : (2)if 0<=f(x) and [lim x→a f(x)=0] and [lim x→a g(x)=无穷大]
: : 则[lim x→a f(x)^g(x)]=?
: : 谢谢!!
g(x)
ln f(x)
lim e
x→a
g(x) ln f(x) ∞ * -∞ -∞
= lim e = e = e = 0
x→a
举个例子
f(x) = x , x→0
g(x) = 1/x^2, x→0
lnx
lim ────
x→0 x^2 -∞
e = e = 0
希望没错0.0
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1F:推 wo0228:谢啦!!^^ 02/05 12:35