JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim \limits_ {x \rightarrow a^{-}}\left\{\frac{|x|^3}{a}-\left[\frac{x}{a}\right]^3\right\}, a > 0

, where

[x]

denotes the greatest integer less than or equal to

x

, is

View answer and explanation

Correct option: C

a^2

Option C (

a^2

) is correct because as x approaches a from the left, the greatest integer function evaluates to 0, simplifying the limit.

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