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ERJAEE, G. (20)

Lecture 22

Department

MathematicsCourse Code

MATH 2BProfessor

ERJAEE, G.Lecture

22This

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MATH 2B - Lecture 22 - Comparison Test

We start from two important series

1. Geometric series

●

2. P-series

●

Example:

Solution:

●

●

converges

Example:

Solution:

● converges

The Comparison Test

● Suppose that

and

have positive terms

● We can consider

and

as sum of rectangles, with positive

height

1. If

converges, and

also converges

• If each term of

is smaller than that of

then

• Converges if

converges

also

diverges and

2. If

also diverges

• If

diverges →

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