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answerhappygod
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1. Every power series n=0∑anxn converges at x=0. 2. The power series n=0∑∞an(x−a)n converges on an interval centered at x=a. 3. The power series n=0∑∞xn converges if ∣x∣<1. 4. 1−x1=n=0∑∞xn for all x with ∣x∣<1
1. Every power series n=0∑anxn converges at x=0. 2. The power series n=0∑∞an(x−a)n converges on an interval centered at x=a. 3. The power series n=0∑∞xn converges if ∣x∣<1. 4. 1−x1=n=0∑∞xn for all x with ∣x∣<1
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