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volcom3759 Member
Joined: 10 Nov 2005 Posts: 12
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Posted: Wed, 14 Dec 2005 23:05:17 UTC Post subject: Maclaurin series |
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If i have to find the Maclaurin Series for e^x(cos(x))
Can i just multiply e^x by the Maclaurin Series of cos(x)
Or do i multiply the Maclaurin series of e^x by the Maclaurin series of cos(x)
Or neither of them?? |
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coolmoniker Senior Member
Joined: 01 Sep 2004 Posts: 115
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Posted: Wed, 14 Dec 2005 23:52:33 UTC Post subject: |
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Series of one times the series of the other, I believe. _________________ Grandeur, savior, renommée,
Amitié, plaisir et bien,
Tout n'est que vent, que fumée
Pour mieux dire, tout n'est rien. |
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Soroban Member of the 'S.O.S. Math' Hall of Fame
Joined: 19 May 2003 Posts: 7246 Location: Lexington, MA
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Posted: Thu, 15 Dec 2005 01:09:45 UTC Post subject: Re: Maclaurin series |
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Hello, volcom3759!
| Quote: | If i have to find the Maclaurin Series for ,
can i just (a) multiply by the Maclaurin Series of
or (b) multiply the Maclaurin series of by the Maclaurin series of
or neither of them? |
Your first choice (a) will not produce a Maclauin Series.
. . You have: . . . . which is not a polynomial.
Choice (b) will work: .
. . You multiply it out . . . I'll wait in the car. |
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