This is what I want to say:(adsbygoogle = window.adsbygoogle || []).push({});

The squeeze theorem may be used when direct substitution and factoring (or simplification of any sort) doesn't help in finding a limit.

An example would be lim x->0 of x^{2}sin(pi/x). Limit laws wouldn't work and we can't simplify the expression. What we can do is recognize -1<= sin(pi/x)<= 1, so -(x^{2}) <= x^{2}sin(pi/x) <= x^{2}. According to the squeeze theorem, if the function in question is bounded by two other function at x near a, and the lmits of these bounding functions equal eachother at some a, then the limit of the bounded function also takes that value at a.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# How would I explain what scenarios the squeeze theorem should be used in?

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**