JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\lim _{n \rightarrow \infty}\left[\frac{1}{n}+\frac{1}{n+1}+\frac{1}{n+2}+\ldots+\frac{1}{3 n}\right]

View answer and explanation

Correct option: C

\log _e 3

Option C (

\log _e 3

) is correct because the limit represents the definite integral of

\frac{1}{1+x}

from 0 to 2, which evaluates to

\log_e 3

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