- #1

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Any advice?

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- Thread starter gentsagree
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- #1

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Any advice?

- #2

jedishrfu

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However Newton generalized the expansion see section on Newton's Generalized Binomial Theorem:

http://en.wikipedia.org/wiki/Binomial_expansion

and for more info:

http://en.wikipedia.org/wiki/Binomial_series

- #3

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Here you go: http://en.wikipedia.org/wiki/Binomial_series

Edit: seems like jedi power has beaten me!

Edit: seems like jedi power has beaten me!

- #4

jedishrfu

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Here you go: http://en.wikipedia.org/wiki/Binomial_series

Edit: seems like jedi power has beaten me!

You don't need to answer this post and these droids aren't the ones you're looking for, move along, move along.

- #5

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http://en.wikipedia.org/wiki/Binomial_series

Assuming neither x or y are zero (and both are positive), I would recommend factoring out the larger of x or y and let your task reduce to that of finding [itex](1+z)^{1/2}[/itex] with [itex]z<1[/itex].

For example, assume [itex]y < x[/itex], then your expression would be

[tex] f = \sqrt{x}\,(1+z)^{1/2}[/tex]

Expand [itex](1+z)^{1/2}[/itex] using the binomial series. The expansion will be an infinite series due to the non-integer exponent.

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