JEE Main 2002Annual, Paper 1MathematicsEasyIntegral Calculus369× since 2002limn→∞1p+2p+3p+.....+npnp+1\mathop {\lim }\limits_{n \to \infty } {{{1^p} + {2^p} + {3^p} + ..... + {n^p}} \over {{n^{p + 1}}}}n→∞limnp+11p+2p+3p+.....+np isAOption A. 1p+1{1 \over {p + 1}}p+11BOption B. 11−p{1 \over {1 - p}}1−p1COption C. 1p−1p−1{1 \over p} - {1 \over {p - 1}}p1−p−11DOption D. 1p+2{1 \over {p + 2}}p+21CheckSkip · show solution
