Given that the 4th term in the expansion of `[2+(3x//8)]^(10)` has the maximum numerical value. Then find the range of value of `xdot`

Explanation

If `T_(r+1)` is the greatest term in `(a+bx)^(n)`,
`(r/(n-r+1)) a/b le |x|le ((r+1)/(n-r)) a/b`
Given that the fourth terms is in the expansion of `(2+3/(8)x)^(10)`.
`rArr (3/(10-3+1)) (2)/((3//8)) le |x|le ((3+1)/(10-3))(2)/((3//8))`
`rArr 2 le |x| le 64/21`