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
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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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.
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