If $f: R \rightarrow R$ is defined 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
    $\frac{7}{2}$
  • C
    $\frac{5}{2}$
  • D
    $\frac{1}{2}$

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