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Limits Continuity and Differentiability question

2022 · 27 Jun · Shift 2 · Q40

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 27 Jun · Shift 2 · Q40

Limits Continuity and Differentiability question

2022 · 27 Jun · Shift 2 · Q40

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

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

\underline{\hspace{2cm}}

.

Numerical answer

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