Differentiation Question 134
Question: $ \underset{x\to 0}{\mathop{\lim }}{{| x |}^{[cosx]}} $ is
Options:
A) 1
B) Does not exist
C) 0
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ \underset{x\to {0^{+}}}{\mathop{\lim }}=\underset{x\to {0^{+}}}{\mathop{\lim }}{{(x)}^{0}}=1, $
$ \underset{x\to {0^{-}}}{\mathop{\lim }}{{(-x)}^{0}}=\underset{x\to {0^{-}}}{\mathop{\lim }}1=1 $
BETA
