Let [ {\t}] denote the greatest integer \leq {\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}/{2[x]+\{x\}} at {\x}=0 is equal to \alpha-\frac{4}{3}, is____ [27-Jun-2022-Shift-2]

Limits, Continuity and Differentiability Part 2

Section: Mathematics

Question : 39 of 100

Marks: +1, -0

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]+‌

α2[x]+{x}+[x]−1

2[x]+{x}

at x=0 is equal to α−‌

, is____

[27-Jun-2022-Shift-2]

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