Let a be an integer such that … exists, where [t] is greatest integer … t. Then a is equal to :

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Limits Continuity and Differentiability

JEE Main 2022 · 27 Jun, Morning shift · Q4239

MathematicsMedium179×since 2002Q4239

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 :

JEE Main 2022 · 27 Jun, Morning shift · Q4239

MathematicsMedium179×since 2002Q4239

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 :