For each positive integer n, let y_n= 1 n ((n+1)(n+2) (n+n) )^ 1 n . For x R , let [x] be the greatest...

Question

For each positive integer n, let y_n= 1 n ((n+1)(n+2) (n+n) )^ 1 n . For x R , let [x] be the greatest integer less than or equal to x. If _ n y_n=L, then the value of [L] is _____.

Accepted Answer

1

JEE Advanced 2018 Mathematics question

Solution