JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

For each

x \in \mathbf{R}

, let

[x]

be greatest integer less than or equal to

x

. Then

\lim _{x \rightarrow 0} \frac{x([x]+|x|) \sin [x]}{x}

is equal to

View answer and explanation

Correct option: A

-\sin 1

Option A (

-\sin 1

) is correct because after evaluating the left-hand limit, the result is

-\sin 1

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