JEE MATHEMATICS MCQ: LIMITS

1 Hard

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Analyzing +4 | -1

\lim\limits_{x \to \frac{\pi }{2}} \frac{{{a^{\cot x}} - {a^{\cos x}}}}{{\cot x - \cos x}},a > 0

is equal to

View answer and explanation

Correct option: C

{\log _e}a

Option C (

{\log _e}a

) is correct because, by using L'Hopital's rule or series expansion, the limit evaluates to the natural logarithm of a.

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