Okay so the question is:

Let by

for

Prove that for each , is a continuous function of

([MTEXR[/MTEX is the real numbers, I'm not sure how to get it to look right).

I am letting and then trying to find a so whenever I am stuck trying to find the delta what will work. I start with and try and simplify but I am not sure how to get to the point where I can determine delta. Any help appreciated.