# 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

- N is not positive number.
- 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 |

## Related Videos

## See Also

## References