Question 1
What is the main idea of the Squeeze Theorem?
Question 2
Suppose $-x^2\le f(x)\le x^2$ for all $x$ near $0$. What is $\lim_{x\to 0} f(x)$?
Question 3
What limit can be found using the Squeeze Theorem?
Question 4
If $-3x\le g(x)\le 3x$ for $x\ge 0$ and $x\to 0$, what is $\lim_{x\to 0} g(x)$?
Question 5
Why does the Squeeze Theorem work when two bounding functions have the same limit?