Answer: Prove that, if and are polynomials of degree and respectively, then the series

Chapter 9, Problem 38

(choose chapter or problem)

Prove that, if P(n) and Q(n) are polynomials of degree j and k, respectively, then the series

\(\sum_{n=1}^{\infty} \frac{P(n)}{Q(n)}\)

converges if j < k - 1 and diverges if \(j\ \ge\ k\ -\ 1\)

Text Transcription:

sum_n=1 ^infty P(n) / Q(n)

j geq k - 1

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