Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

$\underset{x→0}{\lim}|x|^{[\cos x]}$ is

Options:

1

does not exist

0

none of these

Correct Answer:

1

Explanation:

$\underset{x→0^+}{\lim}x^0=\underset{x→0^+}{\lim}1=1,\underset{x→0^-}{\lim}(-x)^0=\underset{x→0^-}{\lim}1=1$