JEE Main 2003Annual, Paper 1MathematicsMediumIntegral Calculus369× since 2002limn→∞1+24+34+....+n4n5\mathop {\lim }\limits_{n \to \infty } {{1 + {2^4} + {3^4} + .... + {n^4}} \over {{n^5}}}n→∞limn51+24+34+....+n4 - limn→∞1+23+33+....+n3n5\mathop {\lim }\limits_{n \to \infty } {{1 + {2^3} + {3^3} + .... + {n^3}} \over {{n^5}}}n→∞limn51+23+33+....+n3AOption A. 15{1 \over 5}51BOption B. 130{1 \over 30}301COption C. zeroDOption D. 14{1 \over 4}41CheckSkip · show solution
