a) Prove that k=1 sin(x/k2) converges uniformly on any bounded interval in R. b) Prove that k=0e-kx
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b) Prove that ∑∞k=0e-kx converges uniformly on any closed subinterval of (0, ∞).
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a Since sinxk 2 xk 2 maxa bk 2 for any x a b this series co...View the full answer
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