Homework Help is Here – Start Your Trial Now!
Math
Calculus
Q4: (A) Test for convergence or divergence of the sequence 3n (n-1):] (n+1): (B) Find the sum of the series - (C) For what values of x does the series (5.x+1)* 2(n+1) eonverges.

Q4: (A) Test for convergence or divergence of the sequence 3n (n-1):] (n+1): (B) Find the sum of the series - (C) For what values of x does the series (5.x+1)* 2(n+1) eonverges.

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...
See similar textbooks
icon
Related questions
Question
i need the answer quickly
Q4: (A) Test for convergence or divergence of the sequence 3n (n-1): (n+1): 3 -1 (B) Find the sum of the series 6*1 (C) For what values of x does the series 5.r +1) 2(1 +1) eonverges.
Transcribed Image Text:Q4: (A) Test for convergence or divergence of the sequence 3n (n-1): (n+1): 3 -1 (B) Find the sum of the series 6*1 (C) For what values of x does the series 5.r +1) 2(1 +1) eonverges.
Expert Solution
Step 1
  • A sequence in n is said to be convergent if the term of the sequence when n→∞ is a constant term.
  • The sum S of an infinite geometric sequence with common ratio r and first term as a is obtained by the expression S=a1-r.
  • In the Ratio test for convergence of a sequence in n, the ratio of the consecutive terms must be between -1 and 1, when n→∞.
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS