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Limits Continuity and Differentiability question

2023 · 24 Jan · Shift 2 · Q28

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JEE Main
Mathematics
Limits Continuity and Differentiability
2023 · 24 Jan · Shift 2 · Q28

Limits Continuity and Differentiability question

2023 · 24 Jan · Shift 2 · Q28

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

The set of all values of

a

for which

\mathop {\lim }\limits_{x \to a} ([x - 5] - [2x + 2]) = 0

, where [

\alpha

] denotes the greatest integer less than or equal to

\alpha

is equal to

A
$[-7.5,-6.5]$
B
$(-7.5,-6.5]$
C
$[-7.5,-6.5)$
D
$(-7.5,-6.5)$

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