Please see the attached file for the f(x) function.
b) Answer the same three questions, but now let the function be defined on the real line.© BrainMass Inc. brainmass.com March 21, 2019, 10:38 am ad1c9bdddf
fn(x)=0 if x<=n and fn(x)=x^2-n^2 if x>=n
(a) On the interval [a,b], fn(x) converges pointwise, then limit function is g(x)=0. The convergence is uniform.
Proof: For any e>0, we can find enough ...
Uniform an pointwise convergence of a Fourier Series is investigated on an interval and across the entire real line.