if then thus: for all hence by Weierstrass M-test your series is uniformly convergent. Weierstrass M-test
Let
Does the series converges pointwise or uniformly?
Proof so far.
Define the partial sum .
Now, in the case that , we have
Now, does this one converges to , if it does then it is pointwise.
In the case that , then
Well, then this guy doesn't converge to , so it ain't pointwise convergence then?
Thanks, people, I'm really lost in series convergence here...
if then thus: for all hence by Weierstrass M-test your series is uniformly convergent. Weierstrass M-test