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New Series From Old

Series are just functions built of sums and products * and can be manipulated like any other function. The relatively short list of FamousSeries is a wellspring of other series. The list itself includes several important series which could have been found using the methods listed here, making the list even shorter.

*albeit lots of them $smile$

Table of Contents
New Series From Old Multiply by a constant: Substitute an expression for x: Multiply by a power of x: Integrate: Differentiate:

Multiply by a constant:

Before
After

Substitute an expression for x:

Before
After

Multiply by a power of x:

Before
After

Integrate:

Before
After

Differentiate:

Before
After

-- DickFurnas - 16 Nov 2008

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Topic revision: r1 - 2008-11-16 - DickFurnas

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