Help: Minor detail in proof of uniform convergence
The problem states:
Prove that the following limit exists and find the limit.
I've already shown that the pointwise limit is 1, but when I try to show that it converges uniformly using the definition that
then it's uniformly convergent, I run into a slight problem... I get to a point where I have
and I want to show (after a few more inequalities) that this is less than epsilon.
However, how can I account for the fact that sometimes the is negative, thus giving me a nonreal value?
What this all boils down to, is can I say that