My Math Forum Formally differentiating the series

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March 12th, 2010, 06:41 AM   #1
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Formally differentiating the series

What does this mean
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 Formally differentiating the series
?

 March 12th, 2010, 04:15 PM #2 Senior Member   Joined: Mar 2007 Posts: 428 Thanks: 0 Re: Formally differentiating the series I'd hazard a guess: Doing it the long way, from basic principles?
March 12th, 2010, 04:38 PM   #3
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Re: Formally differentiating the series

Quote:
What does this mean
Quote:
 Formally differentiating the series
?
Usually it starts with the assumption that the series converges to some function f(x). Formally differentiation means differentiation term by term without verifying whether or not the resulting series will sum to f'(x).

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