limit2

also f(x) is differentiable at x=1 ,then f'(1)=??????????

1 Answers

lim n->0 f(1+n)n = 5

lim n->0 f(1+n)n-f(1)n = 5-f(1)/n

lim n->0 f(1+n)-f(1)n = 5-f(1)/n

for the derivative to exist, lim n->0, f(1)/n has to be 0

and hence derivative is given by

lim n->0 f(1+n)-f(1)n = 5

thus, the derivative is 5

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