Chapter 10.4, Problem 9E

¹+00 (-1)" Determine if the series n=1 3" +1 Use Alternating Series Test. is convergent or divergent.

Find the sum of the series. Determine whether it diverges or converges. Please show work process.

Test the series for convergence or divergence. (-1)" converges diverges

11. Practice similar Help me with this By recognizing the series sum = −((3/4)) – as a Taylor series evaluated at a particular value of x, find the sum of the convergent series. ((3/4))² ((3/4))³ 2 ▶ ((3/4))" n

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Give an example of an increasing sequence {an} that converges to 12. What can you conclude about the series En=1an? (Does it converge or diverge?) Give an example of a series that converges to 12. What can you conclude about the sequence {an}? (Does it converge or diverge?)

What is the radius of convergence for the power series (see image)

OSelect the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series c. Comparison (or Limit Comparison) with a geometric or p series D. Alternating Series Test E. None of the above (n + 1)(8)" 1. 32n (-1)" 2. 7n + 5 n=1 00 3. (-1)"- n+3 7(7)" A 4. 2n sin (4n) 5. n? (-1)" In(e") n² cos(na) 00 6.

If the series >(-1)" a, is convergent and the seies an is convergent then n=1 we said the series2(-1)"a, is n=1 (a) conditionally convergent (b) absolutely convergent (c) None b d. e