## hera474 2 years ago Does the squeeze theorem always work out to zero?

1. satellite73

no

2. satellite73

if $$\lim_{x\to a}f(x)=5$$ and $$\lim_{x\to a}g(x)=5$$ and if $$f(x)\leq h(x)\leq g(x)$$ then $$\lim_{x\to a}h(x)=5$$

3. satellite73

although you would get the impression that it is always zero, because that is how it is most frequently used

4. hera474

Cool thanks