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Limits Continuity and Differentiability question

2022 · 27 Jun · Shift 1 · Q23

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 27 Jun · Shift 1 · Q23

Limits Continuity and Differentiability question

2022 · 27 Jun · Shift 1 · Q23

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let a be an integer such that

\mathop {\lim }\limits_{x \to 7} {{18 - [1 - x]} \over {[x - 3a]}}

exists, where [t] is greatest integer

\le

t. Then a is equal to :

A
$-$ 6
B
$-$ 2
C
2
D
6

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