HOW DO YOU SEE IT The graphs show the sequences of partial sums of the -series and Using

Chapter 9, Problem 46

(choose chapter or problem)

HOW DO YOU SEE IT? The graphs show the sequences of partial sums of the p-series

\(\sum_{n=1}^{\infty} \frac{1}{n^{0.4}} \quad \text { and } \sum_{n=1}^{\infty} \frac{1}{n^{1.5}}\)

Using Theorem 9.11, the first series diverges and the second series converges. Explain how the graphs show this.

Text Transcription:

sum_n=1^infinity 1/n^0.4 and sum_n=1^infinity 1/n^1.5

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