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Prove that lim(x->0) (f(x+h)+f(x-h)-2f(x...

Prove that `lim_(x->0) (f(x+h)+f(x-h)-2f(x))/h^2 = f''(x)` (without using L' Hospital srule).

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  7. If x y=e^((x-y)), then find (dy)/(dx)

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  8. (dy)/(dx) for y=tan^(-1){sqrt((1+cosx)/(1-cosx))} ,where 0 lt x lt pi,...

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