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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Application +4 | -1
If lim⁡x→0kxcosec⁡x=lim⁡x→0xcosec⁡kx\lim \limits_{{x \rightarrow 0}} k x \operatorname{cosec} x=\lim \limits_{{x \rightarrow 0}} x \operatorname{cosec} k x, then k=k=
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Correct option: C
±1\pm 1
Option C (±1\pm 1) is correct because solving the equation lim⁡x→0kxcosec⁡x=lim⁡x→0xcosec⁡kx\lim \limits_{{x \rightarrow 0}} k x \operatorname{cosec} x=\lim \limits_{{x \rightarrow 0}} x \operatorname{cosec} k x yields k=±1k = \pm 1.

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