Determining Limits Using the Squeeze Theorem Practice Test

If $\dfrac{\sin x}{x}\le p(x)\le \dfrac{\sin x}{x}+x^2$ near $0$, what is $\lim_{x\to 0} p(x)$?

Given $-\dfrac{|x|^3}{7} \le g(x) \le \dfrac{|x|^3}{7}$ near $0$, find $\lim_{x\to 0} g(x)$.