Difference between revisions of "Manuals/calci/BINOMIALSERIES"
Jump to navigation
Jump to search
| Line 6: | Line 6: | ||
*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 | + | *If k is any number and |x|<1 then,<math>(1+x)^k= \sum_{n=0}^\infty \binom{k}{n} x^n</math> http://tutorial.math.lamar.edu/Classes/CalcII/BinomialSeries.aspx.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. | ||
Revision as of 14:23, 13 December 2016
BINOMIALSERIES (N,X,Y)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n_1,n_2,n_3...} 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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x)=(1+x)^{\alpha}} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha} is belongs to any Complex number.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle BINOMIALSERIES(N,X,Y)} ,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N} is any positive integer and x and y are any real numbers.
- If k is any number and |x|<1 then,Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (1+x)^k= \sum_{n=0}^\infty \binom{k}{n} x^n} http://tutorial.math.lamar.edu/Classes/CalcII/BinomialSeries.aspx.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.