→ a016258:第三題是會發散嗎@@?140.112.111.102 01/14 19:07
→ debdeb:我沒有答案耶拍謝，其實這是研究所考古題218.171.162.157 01/14 19:26
(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
麻煩指點一下，謝謝！！
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