Question

Math-Limits and Derivative. Could anybody help me,please ?

Answer 1

Explanation:

Hello, please consider the following.

`\displaystyle f'(0)=\lim_(x\rightarrow0) {(f(x)-f(0))/(x-0)}\\\\=\lim_(x\rightarrow0) {((√(1+x)-1)/(x)-k)/(x)}\\\\=\lim_(x\rightarrow0) {((√(1+x)-1-kx)/(x))/(x)}\\\\=\lim_(x\rightarrow0) {(√(1+x)-1-kx)/(x^2)}\\`

Thank you