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Binomial Series

The binomial series is the Talyor series (or Maclaurin series) of the function

( 1 + x ) α

This series expansion is:

( 1 + x ) α = k = 0 ( α k ) x k = 1 + α x + α ( α 1 ) 2 ! x 2 + ...

 

If | x | < 1 , the series converges. If | x | > 1 , the series diverges.

 

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