Find the radius and interval of convergence

Reference no: EM131015529

1. Find the Taylor series centered at 0 for 1/ (1 - x).

2. Find the Taylor series centered at 0 for x / (1 - x)² using the derivative of the series from (1). Find its radius and interval of convergence.

3. Use your answer to part (2) to calculate the exact value of (1/2) + (2/4) + (3/8) + (4/16) + ···.

Reference no: EM131015529

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