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The expression 8 x6 32 x10 2x2 + 3 5 consists of the first terms of the Taylor series about x = 0 for the

The expression 8 x6 32 x10 2x2 + 3 5 consists of the first terms of the Taylor series about x = 0 for the function as can be seen by integrating with respect to x the geometric series + 4x16x5 +64x9 + within its interval of convergence: |x|

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