JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

The value of

\lim \limits_{{n \rightarrow \infty}} \frac{1 \cdot 2+2 \cdot 3+3 \cdot 4+\ldots+n(n+1)}{n^3}

30, is

View answer and explanation

Correct option: C

\frac{1}{3}

Option C (

\frac{1}{3}

) is correct because the sum in the numerator simplifies to

\frac{n(n+1)(n+2)}{3}

, and dividing by

n^3

and taking the limit as

n

approaches infinity yields

\frac{1}{3}

More Questions from LIMITS

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\lim \limits_{{x \rightarrow \infty}} x\left(e^{1 / x}-1\right)

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