Functions Question 693

Question: $ \underset{x\to 1}{\mathop{\lim }},\frac{(2x-3)(\sqrt{x}-1)}{2x^{2}+x-3}= $

[IIT 1977]

Options:

A) ?1/10

B) 1/10

C) ?1/8

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \underset{x\to 1}{\mathop{\lim }},\frac{(2x-3),(\sqrt{x}-1)\times (\sqrt{x}+1)}{(x-1),(2x+3)\times (\sqrt{x}+1)}=\frac{-1}{5,.,2}=\frac{-1}{10}. $