Functions Question 689
Question: $ \underset{x\to 1}{\mathop{\lim }},\frac{\log x}{x-1}= $
[RPET 1996; MP PET 1996; Pb. CET 2002]
Options:
A) 1
B) ?1
C) 0
D) $ \infty $
Show Answer
Answer:
Correct Answer: A
Solution:
$ \underset{x\to 1}{\mathop{\lim }},\frac{\log ,[(x-1)+1]}{x-1}=1. $ Aliter : Apply L-Hospital?s rule, $ \underset{x\to 1}{\mathop{\lim }},\frac{\log x}{x-1}=\underset{x\to 1}{\mathop{\lim }},\frac{\frac{1}{x}}{1}=1 $
BETA
