JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

\lim \limits_{{n \rightarrow \infty}} \frac{1+2^4+3^4+\ldots+n^4}{n^5}-\lim \limits_{{n \rightarrow \infty}} \frac{1^3+2^3+3^3+\ldots+n^3}{n^5}

, is

View answer and explanation

Correct option: A

\frac{1}{5}

Option A (

\frac{1}{5}

) is correct because the difference of the two limits is equal to

\frac{1}{5}

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