JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

If the value of

\lim \limits_{{n \rightarrow \infty}} \sum\limits_{{k=0}}^{n} \frac{{ }^n C_k}{n^k(k+3)}

equals

L

. Then

[L]

is equal to:

[Note: Where

[k]

denotes greatest integer function less than or equal to

k

View answer and explanation

Correct option: A

Option A, 0, is correct because the limit evaluates to e - 2, and the greatest integer function of e - 2 is 0 since 2 < e < 3.

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