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. $