Functions Question 39

Question: $ \underset{x\to a}{\mathop{\lim }}\frac{x^{2}-a^{2}}{x-a}= $

[RPET 1995]

Options:

A) 4a

B) 1

C) 2a

D) 0

Show Answer

Answer:

Correct Answer: C

Solution:

$ \underset{x\to a}{\mathop{\lim }}\frac{x^{2}-a^{2}}{x-a}=\underset{x\to a}{\mathop{\lim }}(x+a)=2a. $