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}. $