= k= . Define gk : (0,1) + R by gk (x) = xk. Prove that 200 gk converges pointwise to f(x) = 174 (that is, the sequence
Posted: Thu May 12, 2022 3:07 pm
= k= . Define gk : (0,1) + R by gk (x) = xk. Prove that 200 gk converges pointwise to f(x) = 174 (that is, the sequence of partial sums converges pointwise). Prove that mogk does not converge uniformly.