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Old 03-20-2006, 02:22 AM   #21
flamingspinach
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Default Re: Anyone know why this works?

What I mean is, some alternating infinite series (i.e. ones that have both positive and negative terms) break the commutativity of addition.

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Old 03-20-2006, 03:05 AM   #22
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Default Re: Anyone know why this works?

I see.

But in this case, the powers of x of each term in one series are nonexistant in the other, thereby allowing one to slip into the other without affecting it.

In the example of the link you gave, the terms are all constants, so they're affecting each other, thus breaking commutativity.

Just like you said, SOME alternating infinite series break commutivity. sinx + cosx does not.

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Old 03-22-2006, 08:40 PM   #23
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Default Re: Anyone know why this works?

itsa negative and a positive equasion it will always work
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