The value of $\mathop {\lim }\limits_{x \to 3} \frac{{{3^x} - {x^2}}}{{{x^x} - {3^2}}}$, is

$\frac{{\log 3 - 1}}{{\log 3 + 1}}$

$\frac{{\log 3 + 1}}{{\log 3 - 1}}$

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

The value of

\lim\limits_{x \to 3} \frac{{{3^x} - {x^2}}}{{{x^x} - {3^2}}}

, is

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because the limit, after applying L'Hopital's rule, evaluates to a different expression than the given options.

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