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Limits Continuity and Differentiability question

2024 · 1 Feb · Shift 2 · Q50

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JEE Main
Mathematics
Limits Continuity and Differentiability
2024 · 1 Feb · Shift 2 · Q50

Limits Continuity and Differentiability question

2024 · 1 Feb · Shift 2 · Q50

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

f(x)=\left\{\begin{array}{l}x-1, x \text { is even, } \\ 2 x, \quad x \text { is odd, }\end{array} x \in \mathbf{N}\right.

. If for some

\mathrm{a} \in \mathbf{N}, f(f(f(\mathrm{a})))=21

, then

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

, where

[t]

denotes the greatest integer less than or equal to

t

, is equal to :

A
169
B
121
C
225
D
144

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