let f be a function from R to R
which of the following statements is true?
(A)if lim (f(x+1)-f(x))=0 then lim f(x) exists and is finite
x→∞ x→∞
(B)if lim f(x^3) exists then lim f(x) exists and lim f(x)=limf(x^3)
x→0 x→0 x→0 x→0
(C)if lim f(x^2) exists then lim f(x) exists and lim f(x)=limf(x^2)
x→0 x→0 x→0 x→0
(D)if lim f(x)exists then lim f'(x) exists
x→∞ x→∞
可以請高手解答嗎
謝謝
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