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Maclaurin series

 
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volcom3759
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Joined: 10 Nov 2005
Posts: 12

PostPosted: Wed, 14 Dec 2005 23:05:17 UTC    Post subject: Maclaurin series Reply with quote

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
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Joined: 01 Sep 2004
Posts: 115

PostPosted: Wed, 14 Dec 2005 23:52:33 UTC    Post subject: Reply with quote

Series of one times the series of the other, I believe.
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Soroban
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Joined: 19 May 2003
Posts: 7246
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PostPosted: Thu, 15 Dec 2005 01:09:45 UTC    Post subject: Re: Maclaurin series Reply with quote

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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