Question

Limits:

Answer 1

Prove that:
\[\LARGE \lim_{x \rightarrow 0} (x^3\cos\pi x)=0\]
Just direct substitution? Limit laws?

Answer 2

Use sandwich theorem.

Answer 3

-1<cos(pi*x)<1 -x^3<x^3 cos(pi*x)<x^3

Answer 4

^Like that?
Squeeze theorem?

Answer 5

yeh.