# 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)

(In the following the first term is given as 1*2^0*3^7 etc. as the binomial term)

 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

Binomial Series