Manuals/calci/BINOMIALSERIES

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BINOMIALSERIES (N,X,Y)


  • are any real numbers.

Description

  • This function gives the coefficient of the Binomial series.
  • BinomialSeries is also called Maclaurin series for the function f given by   and   is belongs to any Complex number.
  • In  ,  is any positive integer and x and y are any real numbers.
  • If k is any number and |x|<1 then, 
 where ,n=1,2,3...
  • So similar to the binomial theorem except that it’s an infinite series and we must have in order to get convergence.
  • This function will give the result as error when
  1. N is not positive number.
  2. N,X and Y is a Non-numeric.

Examples

1. BINOMIALSERIES(7,2,3)

1 2 0 3 7
7 2 1 3 6
21 2 2 3 5
35 2 3 3 4
35 2 4 3 3
21 2 5 3 2
7 2 6 3 1
1 2 7 3 0

2. BINOMIALSERIES(4,7,16)

1 7 0 16 4
4 7 1 16 3
6 7 2 16 2
4 7 3 16 1
1 7 4 16 0