The series *Cn(x 2)n converges when x = 4 and diverges when x = 6. Decide whether each

Chapter 0, Problem 72

(choose chapter or problem)

The series *Cn(x 2)n converges when x = 4 and diverges when x = 6. Decide whether each of the following statements is true or false, or whether this cannot be determined. (a) The power series converges when x = 7. (b) The power series diverges when x = 1. (c) The power series converges when x = 0.5. (d) The power series diverges when x = 5. (e) The power series converges when x = 3.

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