Theory and ExamplesIn Exercise, use the

Chapter 10, Problem 69E

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QUESTION:

Problem 69E

Theory and Examples

In Exercise, use the results of Exercises 61 and 62 to determine if each series converges or diverges.

Reference:

Exercise 61

Show that  and p>1.

(Hint: Limit Comparison with )

Exercise 62

(Continuation of Exercise 61.) Show that  diverges for

(Hint: Limit Comparison with an appropriate p-series.)

Questions & Answers

QUESTION:

Problem 69E

Theory and Examples

In Exercise, use the results of Exercises 61 and 62 to determine if each series converges or diverges.

Reference:

Exercise 61

Show that  and p>1.

(Hint: Limit Comparison with )

Exercise 62

(Continuation of Exercise 61.) Show that  diverges for

(Hint: Limit Comparison with an appropriate p-series.)

ANSWER:

SOLUTION

Step 1 of 2

Here, we have to determine whether the given series converge or diverge by using the given reference problems.

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