JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

\lim \limits_\limits{n \rightarrow \infty} \frac{1^a+2^a+\ldots \ldots \ldots+n^a}{(n+1)^{a-1}[(n a+2)+\ldots .(n a+n)]}=\frac{1}{60}

for some positive real number

a

, then

a

is equal to:

View answer and explanation

Correct option: A

Option A (7) is correct because by converting the summation to an integral and evaluating the limit, we find that

a = 7

satisfies the given equation.

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