I've run into another problem. This one, unlike the other two, which were purely for interest, is for my course study.
My problem here is that I can't figure out a way to handle , which oscillates between -1 & 1 when x approaches . And we are not allowed to use any series expansions, which may help solve the problem.
To deal with that sort of limits you can use the Squeeze Theorem
See here: Squeeze theorem - Wikipedia, the free encyclopedia