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JEE MATHEMATICS MCQ: HYPERBOLIC FUNCTIONS

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Which of the following functions is not defined at x=0x=0 ?
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Correct option: B
cosech⁡x\operatorname{cosech} x
Option B (cosech⁡x\operatorname{cosech} x) is correct because cosech⁡x=1sinh⁡x\operatorname{cosech} x = \frac{1}{\sinh x} and sinh⁡x=0\sinh x = 0 at x=0x=0, making cosech⁡x\operatorname{cosech} x undefined at x=0x=0.

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