Functions Question 21

Question: $ \underset{x\to 1}{\mathop{\lim }}\frac{x-1}{2x^{2}-7x+5}= $

[IIT 1976]

Options:

A) 1/3

B) 1/11

C) -1/3

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

$ \underset{x\to 1}{\mathop{\lim }}\frac{x-1}{(x-1)(2x-5)}=-\frac{1}{3} $ . Aliter : Apply L-Hospital?s rule.