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Numerical Series Expansion
Mathematicians, scientists, and engineers often need solutions for difficult to unsolvable equations in order to progress in their work. Fortunately, through various methods of numerical and polynomial series expansions, some of the most problematic equations can be approximated to easily workable forms. Please post all questions regarding the various expansions and series, such as the Taylor and Maclaurin series expansions, the binomial expansion, and the geometric expansion, as well as the rules that govern them, into this category.
274 Questions
What does an binomial expansion do?
Binomial Expansion makes it easier to solve an equation. It brings an equation of something raised to a power down to a solveable equation without parentheses.
How do you tell if a geometric series diverges or con verges?
If the absolute value of the common multiple is less than 1 then it converges and, if not, it diverges.
How do you get numbers 8 9 and 12 by using four 5's?
The answer depends on what mathematical operations are permitted.
One set of solutions is:
8 = 5!/(5+5+5)
9 = 5 + 5 - 5/5
12 = .5*5!/sqrt(5*5)
How many degress are there in one-sixth of a circle?
There are 360 degrees in a circle, therefore 1/6 of a circle is 60 degrees.
How do you find the sum of a series of numbers?
There is no simple answer. There are simple formulae for simple sequences such as arithmetic or geometric progressions; there are less simple solutions arising from Taylor or Maclaurin series. But for the majority of sequences there are no solutions.
The expression "acyclic number" is not recognised: additional context may help.
Tis useful very much indeed, specially in the times blacksmiths rather have to create certain objects and use expansion. Tis great because they can mould things once they've expanded. So YAH >>>>>>
