JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

The value of

\lim \limits_{{x \rightarrow 0}}\left\{\frac{a^x+b^x+c^x}{3}\right\}^{1 / x}

, is

View answer and explanation

Correct option: B

(a b c)^{1 / 3}

Option B (

(a b c)^{1 / 3}

) is correct because the limit can be evaluated using the exponential form of limits and the standard limit

\lim_{x \rightarrow 0} \frac{{a^x - 1}}{{x}} = \ln a

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