If … is given by …, then the value of … is :

Limits Continuity and Differentiability

JEE Main 2021 · 20 Jul, Evening shift · Q4235

MathematicsMedium179×since 2002Q4235

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 :

JEE Main 2021 · 20 Jul, Evening shift · Q4235

MathematicsMedium179×since 2002Q4235

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 :