f(x)在x_0处可导,求lim h→0 f(x_0+h)-f(x_0-h)/5h 的值_数学解答

f(x)在x_0处可导,求lim h→0 f(x_0+h)-f(x_0-h)/5h 的值

人气：380 ℃　时间：2019-10-10 06:25:17

解答

={[f(x_0+h)-f(x_0)]/h+[f(x_0)-f(x_0-h)]/h}/5
=[f'(x_0)+f'(x_0)]/5
=2/5*f'(x_0)
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或者直接洛必达
=[f'(x_0+h)+f'(x_0-h)]/5
=2/5*f'(x_0)