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Tutorial Exercise Use the power series 1 1 x 1 n 0 1 x Xx...

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Calculus

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Tutorial Exercise Use the power series 1 1 x 1 n 0 1 x Xx 1 to find a power series for the function centered at 0 Determine the interval of convergence f x arctan 2x Step 1 Use the following integration fact to rewrite the function Tax 4x 1 dx arctan 2x f x arctan 2x 3 dx

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