Re: [微積] 請問幾個問題

看板Math作者dogy007 (dogy007)時間14年前 (2011/11/06 19:40)推噓2(2推 0噓 2→)

留言4則, 4人參與討論串3/4 (看更多)

※ 引述《iamsheep (??)》之銘言： : 1.Suppose f'(1) = 1. Find the limit lim [f(x^2)-f(1)]/(x+1) : x->-1 : ans:-2 : 2.Suppose f(1) = -1 and f'(1) = 2. : Find the limit lim [x^2f(1)-f(x^2)]/(x-1) : x->1 : ans:-6 : 3.given that f(2) = 1 and f'(2) = 0,Find the limit : lim [xf(2)-2f(x)]/(x-2) : x->2 : ans:1 : 請問怎麼解? 2. lim (x^2f(1)-f(x^2))/(x-1) = lim f(1)(x^2-1)/(x-1) + lim(f(1)-f(x^2))/(x-1) = ... 3. lim (xf(2)-2f(x))/(x-2) = lim f(2)(x-2)/(x-2) + 2(f(2)-f(x))/(x-2) = ... -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 220.137.134.153

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dogy007

11/06 19:41, , 1^F

11/06 19:41, 1^F

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iamsheep

11/06 22:00, , 2^F

11/06 22:00, 2^F

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ntust661

11/06 22:26, , 3^F

11/06 22:26, 3^F