Series of functions & uniform convergence
OK, so the answer I got for part a is:
S(x) = / [1- 1/(1+ )] = if x≠0
S(x) = 0 if x=0
Can someone help me with the part b, please? In general, I am having a lot of headaches on problems about uniform convergence. I know the precise definition of it, and I re-read the definition many times, but I have no idea how to actually APPLY the definition to solve actual problems.
Should we use the Weierstrass M-test here? Is this the only way to prove that a SERIES of functions is uniformly convergent?
Thanks for any help!!
[also under discussion in math link forum]