Hello, How to show that the Taylor serie of converges ? I found that the serie was . Should I use Lagrange's remainder ? Thank you
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Originally Posted by Klaus Hello, How to show that the Taylor serie of converges ? I found that the serie was . Should I use Lagrange's remainder ? Thank you This is just an extension of the geometric series. Is this what you were asking?
In fact I would like to show that converges...
Originally Posted by Klaus In fact I would like to show that converges... Ok, except it doesnt always now does it? If and for example But utilizing the Root test we can see that converges iff
Originally Posted by Klaus In fact I would like to show that converges... simplifies to It converges as a geometric sum if which means it will definitely converge for values of
Last edited by colby2152; June 23rd 2008 at 10:21 AM.
Originally Posted by colby2152 simplifies to It converges as a geometric sum if which means it will definitely converge for values of Didn't you neglect an absolute value there?
Originally Posted by Mathstud28 Didn't you neglect an absolute value there? Good point or else there could be an infinite large negative sum. Also, note that &
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