Let \(f:R\to R\) is given by \(f(x)=x+1\) then the value of \(\lim _{n\to \infty }\frac{1}{n}\left[f(0)+f\left(\frac{5}{…

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

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