JEE Main 202125 Feb, Evening shiftMathematicsMediumIntegral Calculus369× since 2002limn→∞[1n+n(n+1)2+n(n+2)2+........+n(2n+1)2]\mathop {\lim }\limits_{n \to \infty } \left[ {{1 \over n} + {n \over {{{(n + 1)}^2}}} + {n \over {{{(n + 2)}^2}}} + ........ + {n \over {{{(2n + 1)}^2}}}} \right]n→∞lim[n1+(n+1)2n+(n+2)2n+........+(2n+1)2n] is equal to :AOption A. 12{{1 \over 2}}21BOption B. 13{{1 \over 3}}31COption C. 1DOption D. 14{{1 \over 4}}41CheckSkip · show solution
