Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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Students have asked these similar questions
* (-1)" (n² +1)
2n +3n+1
6) Determine whether the series
converges or diverges.
n=1
In Exercises 35-40 use the root test to analyze whether the
given series converges or diverges. If the root test is inconclu-
sive, use a different test to analyze the series.
5k
5k
36. E
k² 4k+1
35.
k=1
k
1
37. E
38. E
k³ +1
k=0
Ink
k=2
1+ 4k
k
kk
39. E
40.
5k – 1,
k=1
k!
k=1
4n+1
Use a comparison test to determine whether the series
is convergent or
-2
3n
n=1
nt.
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Similar questions
- What is an nth partial sum?arrow_forwardHow is finding the sum of an infinite geometric series different from finding the nth partial sum?arrow_forwardFor the series i=1510i find (a) the fourth partial sum and (b) the sum. Notice in Example 9(b) that the sum of an infinite series can be a finite numberarrow_forward
- 2. Alternating series: a. Consider the series 4 – + -+ 4 - · · . This is a convergent series by the alternating series test. Using an appropriate error estimate, determine the partial sum that will approximate the infinite sum with error less than 0.0001. (-1)* 2 (2k+1)3k-0.5 · b. Another series that converges to the exact same value as the series in part (a) is > -o Using an appropriate error estimate, determine the partial sum that will approximate the infinite sum with error less than 0.0001. C. Choose either of the above two series and approximate it with error less than 0.0001. What famous number do these two converge to?arrow_forwardNumber 31arrow_forward(- 1)7+(n+2) n(n+ 1) 1. Determine if the series converges absolutely, converges conditionally, or diverges. You may use any test(s) learned so far in the course. n=1arrow_forward
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