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Use any convergence test from this section or the previous sec- tion to determine whether the series in Exercises 31-48 con- verge or diverge. Explain how the series meets the hypotheses of the test you select. 00 31. Σ12 32. Σκ k=1 k=1 k-3/4 Σ () 33. k+2 k=1 34. Cos k k=1 (;) 1 35. ) sin 36. 1+k2 k=1 k=1 In k k Σ in 37. 38. k2 k=1 k=1 * Vk+1- /k 39. E 1 40. k Vk+1+ Vk k=1 00 1 41. Eke-k 42. Vk+1+ Vk k=1 k=1 k² 2k 43. 44. ek k=1 k2 k=1 00 1 k+1 45. 46. (k – 2)3 k=1 47. 2 2k+7 48. L +3 k=1 k=1

Use any convergence test from this section or the previous sec- tion to determine whether the series in Exercises 31-48 con- verge or diverge. Explain how the series meets the hypotheses of the test you select. 00 31. Σ12 32. Σκ k=1 k=1 k-3/4 Σ () 33. k+2 k=1 34. Cos k k=1 (;) 1 35. ) sin 36. 1+k2 k=1 k=1 In k k Σ in 37. 38. k2 k=1 k=1 * Vk+1- /k 39. E 1 40. k Vk+1+ Vk k=1 00 1 41. Eke-k 42. Vk+1+ Vk k=1 k=1 k² 2k 43. 44. ek k=1 k2 k=1 00 1 k+1 45. 46. (k – 2)3 k=1 47. 2 2k+7 48. L +3 k=1 k=1

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use any convergence test from this section or the previous sec- tion to determine whether the series in Exercises 31-48 con- verge or diverge. Explain how the series meets the hypotheses of the test you select. 00 31. Σ12 32. Σκ k=1 k=1 k-3/4 Σ () 33. k+2 k=1 34. Cos k k=1 (;) 1 35. ) sin 36. 1+k2 k=1 k=1 In k k Σ in 37. 38. k2 k=1 k=1 * Vk+1- /k 39. E 1 40. k Vk+1+ Vk k=1 00 1 41. Eke-k 42. Vk+1+ Vk k=1 k=1 k² 2k 43. 44. ek k=1 k2 k=1 00 1 k+1 45. 46. (k – 2)3 k=1 47. 2 2k+7 48. L +3 k=1 k=1
Transcribed Image Text:Use any convergence test from this section or the previous sec- tion to determine whether the series in Exercises 31-48 con- verge or diverge. Explain how the series meets the hypotheses of the test you select. 00 31. Σ12 32. Σκ k=1 k=1 k-3/4 Σ () 33. k+2 k=1 34. Cos k k=1 (;) 1 35. ) sin 36. 1+k2 k=1 k=1 In k k Σ in 37. 38. k2 k=1 k=1 * Vk+1- /k 39. E 1 40. k Vk+1+ Vk k=1 00 1 41. Eke-k 42. Vk+1+ Vk k=1 k=1 k² 2k 43. 44. ek k=1 k2 k=1 00 1 k+1 45. 46. (k – 2)3 k=1 47. 2 2k+7 48. L +3 k=1 k=1
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