The Divergence Test for infinite series (also called the "n-th term test for divergence of a series") says that: lim 01 น an 0⇒ an diverges n=1 a = 0; in that situation →∞ Notice that this test tells us nothing about the convergence of an if lim the series might converge or it might diverge. Consider the series 8 n Σ(5) * n=1 The Divergence Test tells us this series Select an answer n=1

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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The Divergence Test for infinite series (also called the "n-th term test for divergence of a series") says
that:
lim
01 น
an 0⇒
an diverges
n=1
a = 0; in that situation
→∞
Notice that this test tells us nothing about the convergence of an if lim
the series might converge or it might diverge.
Consider the series
8
n
Σ(5) *
n=1
The Divergence Test tells us this series Select an answer
n=1
Transcribed Image Text:The Divergence Test for infinite series (also called the "n-th term test for divergence of a series") says that: lim 01 น an 0⇒ an diverges n=1 a = 0; in that situation →∞ Notice that this test tells us nothing about the convergence of an if lim the series might converge or it might diverge. Consider the series 8 n Σ(5) * n=1 The Divergence Test tells us this series Select an answer n=1
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