Do you have to use squeeze theorem? What about L'Opital's rule?
The problem I have is
I know I have to use the squeeze theorem, by implementing the range of the cosine function; but when I do that I get
But that would imply the original limit would go to approach zero, but that is certainly not what the answer key attests. Am I setting up my range wrong?
If we were to try to solve this problem with the squeeze theorem using the bound conditions for , we would have:
which doesn't really help us at all.
Provided you are allowed to use L'Hospital's Rule, we can say:
If you HAVE to use the squeeze theorem, just play around with functions that are ALWAYS outside of the bounds of and see what happens. Good luck!