1 Chapter 9

2 Does converge or diverge and why?

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8 How can you tell if a series is alternating?

9 When proving an alternating series converges, you first should…

10 You have shown an alternating series does not converge absolutely, how do you show it converges conditionally?

11 When is it a good time to use the root test?

12 How do you prove a series converges with the root test?

13 How do you know if a p-series diverges?

14 If you want to prove a series converges using the direct comparison test you must…

15 The limit comparison test can prove a series is a convergent series if …

16 When is it a good time to use the RATIO test? What must happen for a series to converge using this test?

17 How do you find the Interval of Convergence of an infinite series?

18 How do you find a Taylor polynomial approximation around x = 0?

What is the general term of the Taylor series centered around zero for

20 What are the first four terms of the Taylor series centered around zero for

21 What is the general term of the Taylor series centered around zero for

22 State the first four terms of the Taylor series centered around zero for

23 What is the general term of the Taylor series centered around zero for