Let f(x)={\\begin{array}{cc}x-1 & x \\\\text{ is even & }\\ \ 2 x & \\\\\ x \\\\text{ is odd & }\\\\end{array}. a \in N, f(f(f(a)))=21, then \lim_{x \rightarrow a^{-}} \{\frac{|x|^3}{a}- [\frac{x}{a}] \}, where [t] denotes the greatest integer less than or equal to t, is equal to : [1-Feb-2024 Shift 2]

JEE Main 1-Feb-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 16 of 90

Marks: +1, -0

Let f(x)={

x−1	x‌ is even, ‌
2x	‌‌x‌ is odd, ‌

. a∈N,f(f(f(a)))=21, then

lim

x⟶a−

{‌

|x|3

−[‌

]}, where [t] denotes the greatest integer less than or equal to t, is equal to :

[1-Feb-2024 Shift 2]

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x−1;‌	x=‌ even ‌
2x;‌	x=‌ odd ‌