Question

The function $f\left(x\right)=\left(tan{x}^{11}\right)e^{x^5}sgn\left(x^{11}\right)\left[\frac{1}{3x^2+2}\right]$ where $[\cdot ]$ denotes greatest integer function, is:

• A. even function
• B. odd function
• C. even as well as odd function
• D. neither even nor odd function

Answer 1

The correct option is C

even as well as odd function

$\left[\frac{1}{3x^2+2}\right]=0\forall xϵR;\therefore f\left(x\right)=0$