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Question: If f(x) = \(\left\{ \begin{matrix} \frac{\sqrt{g(x)}–1}{\sqrt{x}–1}; & x \neq 1 \\ 1; & x = 1 \end{m...

If f(x) = {g(x)–1x–1;x≠11;x=1\left\{ \begin{matrix} \frac{\sqrt{g(x)}–1}{\sqrt{x}–1}; & x \neq 1 \\ 1; & x = 1 \end{matrix} \right. and g′ (1) = 2, g(1) = 1.

Then lim⁡x→1\lim_{x \rightarrow 1} f(x) is :

A

1

B

3

C

2

D

4

Answer

2

Explanation

Solution

= lim⁡x→1\lim _ { x \rightarrow 1 } = lim⁡x→1\lim _ { x \rightarrow 1 } = 2