If in the expansion of `(1/x+xtanx)^(5)` and `xgt0` the ratio of `4^(th)` term to the `2^(nd)` term is `2/27 pi^(4)`, the value of `[x]` can be (where `[.]` is greatest integer function)

Answer

1

Explanation

`(T_(4))/(T_(2))=2/27pi^(4)impliesx^(2)tanx=1/(3sqrt(3))pi^(2)`
`implies x=(pi)/3`