JEE Main 202125 Feb, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002limn→∞(1+1+12+........+1nn2)n\mathop {\lim }\limits_{n \to \infty } {\left( {1 + {{1 + {1 \over 2} + ........ + {1 \over n}} \over {{n^2}}}} \right)^n}n→∞lim(1+n21+21+........+n1)n is equal to :AOption A. 12{{1 \over 2}}21BOption B. 1COption C. 0DOption D. 1e{{1 \over e}}e1CheckSkip · show solution