lim x → ∞ (n/(n² + 1²) + n/(n² + 2²) + n/(n² + 3²) +..... + 1/5n) is equal to:

Integral Calculus: JEE Main 2019 Mathematics question

JEE Main 2019 · 12 Jan, Evening shift · Q3285

JEE Main 201912 Jan, Evening shiftMathematicsEasyIntegral Calculus369× since 2002

\mathop {\lim }\limits_{x \to \infty } \left( {{n \over {{n^2} + {1^2}}} + {n \over {{n^2} + {2^2}}} + {n \over {{n^2} + {3^2}}} + ..... + {1 \over {5n}}} \right)

is equal to :

JEE Main 2019 · 12 Jan, Evening shift · Q3285

JEE Main 201912 Jan, Evening shiftMathematicsEasyIntegral Calculus369× since 2002

\mathop {\lim }\limits_{x \to \infty } \left( {{n \over {{n^2} + {1^2}}} + {n \over {{n^2} + {2^2}}} + {n \over {{n^2} + {3^2}}} + ..... + {1 \over {5n}}} \right)

is equal to :