Functions Question 256
Question: $ \underset{x\to 0}{\mathop{\lim }},\cos \frac{1}{x} $
[UPSEAT 2002]
Options:
A) Is continuous at $ x=0 $
B) Is differentiable at $ (3,1) $
C) Does not exist
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ \underset{x\to 0}{\mathop{\lim }}\cos \frac{1}{x} $ oscillates between $ -1 $ and 1. \ Limit doesn?t exist.
BETA
