JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

f: R \rightarrow R

is given by

f(x)=x+1

, then the value of

\lim \limits_{{n \rightarrow \infty}} \frac{1}{n}\left[f(0)+f\left(\frac{5}{n}\right)+f\left(\frac{10}{n}\right)+\ldots+f\left(\frac{5(n-1)}{n}\right)\right], \text { is : }

View answer and explanation

Correct option: D

\frac{7}{2}

Option D (

\frac{{7}}{{2}}

) is correct because the limit represents a Riemann sum which can be evaluated as a definite integral.

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