If $\mathop {\lim }\limits_{x \to a} \frac{{{a^x} - {x^a}}}{{{x^x} - {a^a}}} = - 1$, then $a$ equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

\lim\limits_{x \to a} \frac{{{a^x} - {x^a}}}{{{x^x} - {a^a}}} = - 1

, then

a

equal to

View answer and explanation

Correct option: A

Option A (1) is correct because by applying L'Hospital's rule, the value of 'a' is found to be 1.

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