1. Determine whether the Fourier series of the following functions converge uniformly or not. Sketch each...

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1. Determine whether the Fourier series of the following functions converge uniformly or not. Sketch each function. a. f(x) = e*, -1 < x < 1 b. f(x) sinh(x), -A < x < T c. f(x) = sin(x), -7 < x < TA d. f(x) = sin(x) + | sin(x). - <x < e. f(x) = x + |x|, -T <x <T f. f(x) x(x2 - 1), -1 < x < 1 g. f(x) = 1+2x 2x', -1 <x < 1 1. Determine whether the Fourier series of the following functions converge uniformly or not. Sketch each function. a. f(x) = e*, -1 < x < 1 b. f(x) sinh(x), -A < x < T c. f(x) = sin(x), -7 < x < TA d. f(x) = sin(x) + | sin(x). - <x < e. f(x) = x + |x|, -T <x <T f. f(x) x(x2 - 1), -1 < x < 1 g. f(x) = 1+2x 2x', -1 <x < 1