   Chapter 11.3, Problem 14E

Chapter
Section
Textbook Problem

# Determine whether the series is convergent or divergent.14. 1 + 1 2 2 + 1 3 3 + 1 4 4 + 1 5 5 + ⋯

To determine

Whether the series is convergent or divergent.

Explanation

Result used:

The p -series n=11np is convergent if p>1 and divergent if p1 .

Given:

The series is 1+122+133+144+155+... .

The given series can be written as follows,

1+122+133+144+155+..

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