= k= . Define gk : (0,1) + R by gk (x) = xk. Prove that 200 gk converges pointwise to f(x) = 174 (that is, the sequence
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= k= . Define gk : (0,1) + R by gk (x) = xk. Prove that 200 gk converges pointwise to f(x) = 174 (that is, the sequence
= 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.
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