🛠️ 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}\left[f(…

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:

[JEE Main 2021, 20 Jul (Shift 2)]

a

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

b

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

c

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

d

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

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