Consider .

(a) For what values of x does the series converge?

By comparison test, converges \{ }.

(b) On what intervals of x in the form does the series converge uniformly?

Now since \{ }, by M-Weierstrass Test the series converges uniformly on and .

(c) On what intervals of x in the form does the series fail to converge uniformly?

0?

(d) Is f continuous at all points where the series converges?

No idea how to do this.

Could someone please check the answers that I have and help me for (d)?