Functions Question 29

Question: If function $ f(x)= \begin{cases} & \frac{x^{2}-1}{x-1},whenx\ne 1 \\ & k,,whenx=1 \\ \end{cases} . $ is continuous at $ x=1 $ , then the value of k will be

Options:

A) ?1

B) 2

C) ?3

D) ?2

Show Answer

Answer:

Correct Answer: B

Solution:

$ \underset{x\to 1}{\mathop{\lim }},f(x)=\underset{x\to 1}{\mathop{\lim }},x+1=2=k. $