Re: [微分] 極限問題
※ 引述《JULIKEBEN (JU)》之銘言：
: 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→∞
錯
考慮
0 , x ≦ 0
f(x) = {
√x , x > 0
: (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
另外三個不行 , 就是這一個了
: (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
錯
考慮
0 , x ≦ 0
f(x) = {
1 , x > 0
: (D)if lim f(x)exists then lim f'(x) exists
: x→∞ x→∞
錯
考慮
0 , x = 0
f(x) = {
sin(x^3)/x , x != 0
: 可以請高手解答嗎
: 謝謝
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推
07/07 17:12, , 1F
07/07 17:12, 1F
→
07/07 17:12, , 2F
07/07 17:12, 2F
→
07/07 17:14, , 3F
07/07 17:14, 3F
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07/07 17:15, , 4F
07/07 17:15, 4F
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07/07 17:15, , 5F
07/07 17:15, 5F
→
07/07 17:16, , 6F
07/07 17:16, 6F
推
07/07 17:23, , 7F
07/07 17:23, 7F
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