Compute the Taylor series of (1-x)^(-1/2) by Taylor's formula. I used Taylor's formula to get the first few terms but couldn't see a reasonable pattern to generalize... Any help at all is appreciated
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Originally Posted by cassie00 Compute the Taylor series of (1-x)^(-1/2) by Taylor's formula. I used Taylor's formula to get the first few terms but couldn't see a reasonable pattern to generalize... Any help at all is appreciated Since you are concerned with etc., keep in mind that for all n. So you are having trouble generalizing the product ?
Originally Posted by icemanfan Since you are concerned with etc., keep in mind that for all n. So you are having trouble generalizing the product ? I thought the summation also involved dividing by n!.
Originally Posted by cassie00 Compute the Taylor series of (1-x)^(-1/2) by Taylor's formula. I used Taylor's formula to get the first few terms but couldn't see a reasonable pattern to generalize... Any help at all is appreciated If you know the binomial theorem it would make this problem alot faster? if we notice the pattern for n > 1 we get This should get you started
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