Difference between revisions of "Manuals/calci/BINOMIALSERIES"
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==Examples== | ==Examples== | ||
1. BINOMIALSERIES(7,2,3) | 1. BINOMIALSERIES(7,2,3) | ||
+ | (In the following the first term is given as 1*2^0*3^7 etc. as the binomial term) | ||
+ | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- |
Revision as of 14:01, 10 March 2020
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 |
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See Also
References