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A function f : R to R satisfies the equa...

A function `f : R to R` satisfies the equation f(x + y) = f(x), f(y) for all `x, y in R`, `f(x) ne 0`. Suppose that the function is differentiable at x = 0 and f' (0) = 2. Find `(f'(x))/f(x)`

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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  16. Evaluate the following limits : lim(xrarrpi/3)sin(pi/3-x)/(2cosx-1)

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  17. Evaluate the following limits : lim(nrarrinfty)n(x^(1/n)-1), xgt0

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