JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

f(x)=\left\{\begin{array}{cl}\frac{[x]^2+\sin [x]}{[x]} & \text { for }[x] \neq 0 \\ 0 & \text { for }[x]=0\end{array}\right.

where

[x]

denotes the greatest integer function, then

\lim \limits_{{x \rightarrow 0}} f(x)

, is

View answer and explanation

Correct option: D

Non-existent

Option D (Non-existent) is correct because the left-hand limit and right-hand limit are not equal, so the limit does not exist.

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