First hint: Denote . Then , as a consequence
P.S. Show some work and I will provide more hints if necessary.
I'm a bit stuck on this question:
Let g be differentiable in [-1,1]. g(0)=0 and g'(0)=1
Does the limit in the attached image exist (below)? If yes, calculate it. If no, explain why not.
I'm not really sure how to answer this at all. It came up on an exam I had recently.