Find the sum of the convergent series: Σ 19n²-1 n=1 Show that the conditions are satisfied and then use the Integral Test to determine the convergence or divergence of the series: In 2 In 3 +- + 2 3 4 5 6 In 4 In5 In6 + + +. Determine whether each sequence converges or diverges, giving a reason, and if it does converge, find its limit. (-1)" an a) In(n) an 2n b) c) n-p n p is a positive constant. an n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
Question
Find the sum of the convergent series:
Σ
19n²-1
n=1
Show that the conditions are satisfied and then use the Integral Test to
determine the convergence or divergence of the series:
In 2 In 3
+- +
2 3 4 5 6
In 4 In5 In6
+
+
+.
Transcribed Image Text:Find the sum of the convergent series: Σ 19n²-1 n=1 Show that the conditions are satisfied and then use the Integral Test to determine the convergence or divergence of the series: In 2 In 3 +- + 2 3 4 5 6 In 4 In5 In6 + + +.
Determine whether each sequence converges or diverges, giving a reason,
and if it does converge, find its limit.
(-1)"
an
a)
In(n)
an
2n
b)
c)
n-p
n
p is a positive constant.
an
n
Transcribed Image Text:Determine whether each sequence converges or diverges, giving a reason, and if it does converge, find its limit. (-1)" an a) In(n) an 2n b) c) n-p n p is a positive constant. an n
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