Question: By differentiating the geometric series 1 / 1 + x = 1 - x + x2 - x3 + x4 - ..., |x| < 1,

By differentiating the geometric series
1 / 1 + x = 1 - x + x2 - x3 + x4 - ..., |x| < 1,
Find a power series that represents 1 / (1 + x)2. What is the interval of convergence?

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