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M408D Exam 2(1) - Find the radius of convergence of the...

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Unformatted text preview: Find the radius of convergence of the following: (−1)n xn n2n n=1 ∞ (x − 1)n √ n n=1 ∞ ∞ xn 3n n=1 Find a power series for the following: e−x dx 2 1 (1 − x2 )2 dx 1 + x3 Find T3 for the following: √ 1 − x, a = 0 x , a=0 1−x cos x, a = π 4 x4 , a = 1 ...
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