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

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

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

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