Differentiation Question 134

Question: $ \underset{x\to 0}{\mathop{\lim }}{{| x |}^{[cosx]}} $ is

Options:

1

B) Does not exist

0

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ \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 $



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