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| | *BinomialSeries is also called Maclaurin series for the function f given by <math> f(x)=(1+x)^{\alpha}</math> and <math>\alpha</math> is belongs to any Complex number. | | *BinomialSeries is also called Maclaurin series for the function f given by <math> f(x)=(1+x)^{\alpha}</math> and <math>\alpha</math> is belongs to any Complex number. |
| | *In <math>BINOMIALSERIES(N,X,Y)</math>,<math>N</math> is any positive integer and x and y are any real numbers. | | *In <math>BINOMIALSERIES(N,X,Y)</math>,<math>N</math> is any positive integer and x and y are any real numbers. |
| − | *If k is any number and |x|<1 then,<math>(1+x)^k= \sum_{n=0}^\infty \binom{k}{n} x^n</math> where<math> \binom{k}{n} = \frac{k(k-1)(k-2)...(k-n+1)}{n!} </math>,n=1,2,3...http://tutorial.math.lamar.edu/Classes/CalcII/BinomialSeries.aspx. | + | *If k is any number and |x|<1 then,<math>(1+x)^k= \sum_{n=0}^\infty \binom{k}{n} x^n</math> |
| | + | where<math> \binom{k}{n} = \frac{k(k-1)(k-2)...(k-n+1)}{n!} </math>,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. | | *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 | | *This function will give the result as error when |
| | #1. N is not positive number. | | #1. N is not positive number. |
| | #2. N,X and Y is a Non-numeric. | | #2. N,X and Y is a Non-numeric. |