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

Chapter 9, Problem 72

(choose chapter or problem)

The series *Cn(x 2)n converges when x = 4 anddiverges when x = 6. Decide whether each of the followingstatements is true or false, or whether this cannotbe 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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