Limits Continuity And Differentiability

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