If for some real number $k$ $\mathop {\lim }\limits_{x \to 0} \,\,kx\,\,{\rm{cosec}}\left( x \right) = \mathop {\lim }\limits_{x \to 0} \,\,x{\rm{cosec}}\left( {kx} \right)$, then the possible values of $k$ are

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

If for some real number

k

\lim\limits_{x \to 0} \,\,kx\,\,\mathrm{cosec}\left( x \right) = \lim\limits_{x \to 0} \,\,x\mathrm{cosec}\left( {kx} \right)

, then the possible values of

k

are

View answer and explanation

Correct option: A

1, - 1

Option A (

1, -1

) is correct because these are the values of k that satisfy the given limit equation after simplification.

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