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March 31st, 2011, 05:04 PM   #1
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infinite series#2

I've been banging my head against the wall on this one, mainly because I feel like I'm very close.


I factored a 4 out of the bottom and then factored the denominator into two non-reduceable polynomials.

aside#1 -

from there I factored out one-half from each poly and used partial fractions to cogitate:






this means we have

does this mean that we can say If so, how can we proceed?

I'm not really sure if I have the tools to solve from here or perhaps I've just made a fundamental error that's leaving me exasperated, but I've thought about this quite a bit without much success. This is a take home quiz, so please don't solve this for me.

thanks,

Brad
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March 31st, 2011, 05:34 PM   #2
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Re: infinite series#2

ugh. my partial fraction was wrong. it should have been

this solves most of my problem.

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March 31st, 2011, 05:53 PM   #3
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Re: infinite series#2

it helps to spend 15 minutes away from something. It's solved. I'll post the answer in a bit for anyone else who's sadistic enough to be curious about my (fundamentally unsound) mistakes.

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March 31st, 2011, 06:46 PM   #4
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Re: infinite series#2





notice....



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