🛠️ JEE➗ Maths

If \( f: R \rightarrow R \) is given by \( f(x)=x+1 \), then the value of \( \lim _{n \rightarrow \infty} \frac{1}{n}\le…

Q1

If \( f: R \rightarrow R \) is given by \( f(x)=x+1 \), then the value of \( \lim _{n \rightarrow \infty} \frac{1}{n}\left[f(0)+f\left(\frac{5}{n}\right)+f\left(\frac{10}{n}\right)+\ldots+f\left(\frac{5(n-1)}{n}\right)\right] \) is:

a

\( \frac{3}{2} \)

b

\( \frac{5}{2} \)

c

\( \frac{1}{2} \)

d

\( \frac{7}{2} \)

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