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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 12 → ∞ ←0# Ung Consider the series Notice that this test tells us nothing about n=1 situation the series might converge or it might diverge. 12 1 Σ an diverges n=1 12 10 12 The Divergence Test tells us this series: an if lim an 0; in that 12 →∞0 might converge or might diverge diverges converges =

The Divergence Test for infinite series (also called the "n-th term test for divergence of a series") says that: lim 12 → ∞ ←0# Ung Consider the series Notice that this test tells us nothing about n=1 situation the series might converge or it might diverge. 12 1 Σ an diverges n=1 12 10 12 The Divergence Test tells us this series: an if lim an 0; in that 12 →∞0 might converge or might diverge diverges converges =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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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 12 → ∞ ←0# Ung Consider the series Notice that this test tells us nothing about n=1 situation the series might converge or it might diverge. 12 1 Σ an diverges n=1 12 10 12 The Divergence Test tells us this series: an if lim an 0; in that 12 →∞0 might converge or might diverge diverges converges =
Transcribed Image Text:The Divergence Test for infinite series (also called the "n-th term test for divergence of a series") says that: lim 12 → ∞ ←0# Ung Consider the series Notice that this test tells us nothing about n=1 situation the series might converge or it might diverge. 12 1 Σ an diverges n=1 12 10 12 The Divergence Test tells us this series: an if lim an 0; in that 12 →∞0 might converge or might diverge diverges converges =
Consider the series n=1 4n³ 4n³ + 4 Based on the Divergence Test, does this series Diverge? O Diverges O Inconclusive
Transcribed Image Text:Consider the series n=1 4n³ 4n³ + 4 Based on the Divergence Test, does this series Diverge? O Diverges O Inconclusive
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