Unformatted text preview: f n ( 1 n ) = e1 , which does not tend to 0. 9. ± ± cos kx k 2 ± ± ≤ 1 k 2 = M k for all x . Since ∑ M k < ∞ ( pseries with p > 1), the series converges uniformly for all x . 17. ± ± ± (1) k  x  + k 2 ± ± ± ≤ 1 k 2 = M k for all x . Since ∑ M k < ∞ ( pseries with p > 1), the series converges uniformly for all x ....
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 Fall '11
 StuartChalk
 Calculus, Fourier Series, Uniform convergence, lim −nx

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