f(x)=x^3 + sin x

So far.. I've heard it's neither.. But how? Thanks

2 answers

to be odd, f(-x)=-f(x)

does f(-100)=-f(100)

f(-100)=-(100)^3 +sin(-100)
=-(100)^3-sin(100)
f(100)=100^3+sin(100)

so does f(-x)=-f(x) ?
f(x)=2/π+4/π(cos2x/3-cos4x/15+....)