JEE MATHEMATICS MCQ: LIMITS

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Let

f\left( x \right) = \left[ x \right]=

Greatest integer less than or equal to

x

and

k

be an integer. Then, which one of the following is not correct?

View answer and explanation

Correct option: C

\lim\limits_{x \to k} f\left( x \right)

exists

Option C (

\lim\limits_{x \to k} f\left( x \right)

exists) is correct because the limit does not exist as the left-hand limit and right-hand limit are not equal.

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