Verified answer

This is a Squeeze Theorem exercise.

Since x^3 ≤ f(x) ≤ x for all x in [-1,1], and lim(x→0) x^3 = 0 = lim(x→0) x, we conclude by the Squeeze Theorem that lim(x→0) f(x) = 0.

I hope this helps!

x= infinity