2. Answer the following questions ∞ (A) [30%] Test (-1)*+1_ n=1 n2 n³ +4 for convergence or divergence. (B) [70%] Determine whether the series is absolutely convergent, conditionally convergent, or divergent. ∞ (i) (-1)" n=1 n3+2n2+3n-1 20n5+2n3+n2 +4 (ii) Σ sin (n+ Σ π n=1 √n

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...
icon
Related questions
Question

i need help with this question i tried by myself and so i am uploadding the question to be quided with step by step solution and please do not use chat gpt i am trying to learn thank you.

2. Answer the following questions
∞
(A) [30%] Test (-1)*+1_
n=1
n2
n³ +4
for convergence or divergence.
(B) [70%] Determine whether the series is absolutely convergent, conditionally convergent, or
divergent.
∞
(i) (-1)"
n=1
n3+2n2+3n-1
20n5+2n3+n2 +4
(ii) Σ
sin (n+
Σ π
n=1
√n
Transcribed Image Text:2. Answer the following questions ∞ (A) [30%] Test (-1)*+1_ n=1 n2 n³ +4 for convergence or divergence. (B) [70%] Determine whether the series is absolutely convergent, conditionally convergent, or divergent. ∞ (i) (-1)" n=1 n3+2n2+3n-1 20n5+2n3+n2 +4 (ii) Σ sin (n+ Σ π n=1 √n
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning