作者debdeb ()
看板trans_math
标题[微分] 极限
时间Fri Jan 14 17:32:20 2011
(1) Is the following statement correct? Prove or disprove it (by giving
a counter example): If the limits of the function f and g exist as x
f(x) f'(x)
approaches a, then lim ------ = lim -------.
x→a g(x) x→a g'(x)
1 1
(2) lim -------------------- － ------------
x→0 ln (x+√(1+x^2)) ln(1+x)
∞
(3) Let F(x)= Σ e^(-x) (x^j)/j! and n is a positive integer.
j=n
∞
Please find ∫ x F'(x) dx.
0
麻烦指点一下，谢谢！！
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1F：→ a016258:第三题是会发散吗@@?140.112.111.102 01/14 19:07
2F：→ debdeb:我没有答案耶拍谢，其实这是研究所考古题218.171.162.157 01/14 19:26