META TOPICPARENT 
name="InfiniteSeriesSynopsis" 
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



Multiply by a constant:
 Before

 After

Substitute an expression for x:
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 After

Multiply by a power of x:
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 After

Integrate:
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 After

Differentiate:
 Before

 After

 DickFurnas  16 Nov 2008 