If , where , is an odd function, then the value of the parameter is, where denotes…

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

g:[-2,2]\rightarrow\mathbb{R}

, where

g(x)=x^3+\tan x+\left[\frac{x^2+1}{p}\right]

, is an odd function, then the value of the parameter

p

is, where

[\,\cdot\,]

denotes the greatest integer function, (a)

-5<p<5

(b)

p<5

(c)

p>5

(d) None of these