JEE Main 2016Session, Shift 1MathematicsMediumIntegral Calculus369× since 2002limn→∞((n+1)(n+2)...3nn2n)1n\mathop {\lim }\limits_{n \to \infty } {\left( {{{\left( {n + 1} \right)\left( {n + 2} \right)...3n} \over {{n^{2n}}}}} \right)^{{1 \over n}}}n→∞lim(n2n(n+1)(n+2)...3n)n1 is equal to:AOption A. 9e2{9 \over {{e^2}}}e29BOption B. 3 log 3−23\,\log \,3 - 23log3−2COption C. 18e4{{18} \over {{e^4}}}e418DOption D. 27e2{{27} \over {{e^2}}}e227CheckSkip · show solution
