Let [t] denote the greatest integer ≤ t and t denote the fractional part of t. The integral value of α for which the left hand limit of the function f(x) = [1 + x] + (α ^(2[x] + \) + [x] - 1)/(2[x] + x\) at x = 0 is equal to α - 4/3, is _ _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jun, Evening shift · Q37

JEE Main 202227 Jun, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let [t] denote the greatest integer

\le

t and {t} denote the fractional part of t. The integral value of

\alpha

for which the left hand limit of the function

f(x) = [1 + x] + {{{\alpha ^{2[x] + {\{x\}}}} + [x] - 1} \over {2[x] + \{ x\} }}

at x = 0 is equal to

\alpha - {4 \over 3}

, is _____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Limit, Continuity and Differentiability Question with Answer (27 Jun Evening shift, Q37) | JEE Arc