If f:R → R is given by f(x) = x + 1, then the value of lim n → ∞ 1/n[ f(0) + f(5/n) + f(10/n) +...... + f((5(n - 1))/n) ] is:

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 20 Jul, Evening shift · Q4235

JEE Main 202120 Jul, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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

JEE Main 202120 Jul, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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 :