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00 1 25. nº – 7 n=1 00 .3 IM:

00 1 25. nº – 7 n=1 00 .3 IM:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Question 25
7th Edition Calculus Single Variable Page 525 of 745 Fri Apr 8 8:41 PM Qu Search n=1 n=1 00 2n converges. 21. n3 + 1 n=0 1 In Exercises 22-32, use the limit comparison test to deter- mine whether the series converges or diverges. e the series to a ges or diverges. 00 5n + 1 22. У 3n2 00 , by comparing to + 4 n=1 n n=1 5n - 3 00 23. Σ (-) ,ν omparingο Σ() . 1+n 3n n=1 n – 4 n=1 [Hint: lim, (1+1/n)" = e.] 3 + n2 + 8 24. Σ(1 00 -), by comparing to - cos st to determine n² n=1 n=1 00 1 25. n+1 n4 – 7 n=1 26. Σ n² + 2 n=1 00 + 1 n3 -2n2 +n+1 00 27. 2n 28. E n4 – 2 3т — 1 n=1 n=1 00 00 29. E 2Vn+ Vn+2 1 Σ 30. 2n – 1 2n n=1 n=1 +1 00 00 4 sin n + n 31. 2 32. 2 - 1 n2 cos n+ en n=1 n=1 les of Mathematical Analysis, 3rd ed. (New York: McGraw-Hill, 1976), pp. 76–77. tv W
Transcribed Image Text:7th Edition Calculus Single Variable Page 525 of 745 Fri Apr 8 8:41 PM Qu Search n=1 n=1 00 2n converges. 21. n3 + 1 n=0 1 In Exercises 22-32, use the limit comparison test to deter- mine whether the series converges or diverges. e the series to a ges or diverges. 00 5n + 1 22. У 3n2 00 , by comparing to + 4 n=1 n n=1 5n - 3 00 23. Σ (-) ,ν omparingο Σ() . 1+n 3n n=1 n – 4 n=1 [Hint: lim, (1+1/n)" = e.] 3 + n2 + 8 24. Σ(1 00 -), by comparing to - cos st to determine n² n=1 n=1 00 1 25. n+1 n4 – 7 n=1 26. Σ n² + 2 n=1 00 + 1 n3 -2n2 +n+1 00 27. 2n 28. E n4 – 2 3т — 1 n=1 n=1 00 00 29. E 2Vn+ Vn+2 1 Σ 30. 2n – 1 2n n=1 n=1 +1 00 00 4 sin n + n 31. 2 32. 2 - 1 n2 cos n+ en n=1 n=1 les of Mathematical Analysis, 3rd ed. (New York: McGraw-Hill, 1976), pp. 76–77. tv W
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