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...
Related questions
Question
Number 31
![In Exercises 31 – 46, a series is given.
(a) Find a formula for Sn, the nth partial sum of the series.
(b) Determine whether the series converges or diverges.
If it converges, state what it converges to.
31. Σ
32. Σ2
n=1
33. 1³ +2³+3³ +4³ +...
4n
n=0
34. Σ(-1)"n
35.
36.
38.
n=1
M8 M8
37. 1
Σε
Σ
5
n=:
13
+
1
9
-
1
n(n + 1)
1
27
+
1
81](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F400b9bd7-cb38-477d-bca9-0a4702f014e3%2F53aca042-887d-47fc-aa54-4e2702c82f02%2Ff68lwr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In Exercises 31 – 46, a series is given.
(a) Find a formula for Sn, the nth partial sum of the series.
(b) Determine whether the series converges or diverges.
If it converges, state what it converges to.
31. Σ
32. Σ2
n=1
33. 1³ +2³+3³ +4³ +...
4n
n=0
34. Σ(-1)"n
35.
36.
38.
n=1
M8 M8
37. 1
Σε
Σ
5
n=:
13
+
1
9
-
1
n(n + 1)
1
27
+
1
81
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