1 x 1 2 expansion 1 x 1 2 1 x 2 1 8x 2 1 16x 3 5 128x 4 Explanation According to binomial series 1 a n 1 na n n 1 2 a 2 n n 1 n 2 3 a 3 n n 1 n 2 n
The binomial theorem describes the algebraic expansion of powers of a binomial Send feedback Visit Wolfram Alpha Get the free Binomial Expansion Calculator widget for The result would be 1 1 2 x 1 2 3 2 x 2 2 1 1 2 x 3 8 x2 5 16 x3 Answer link 1 1 2 x 3 8 x 2 5 16 x 3 In the
1 x 1 2 expansion
1 x 1 2 expansion
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Some Useful Taylor Series Expansions Stat Mania English
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Free online series calculator allows you to find power series expansions of functions providing information you need to understand Taylor series Laurent series Puiseux The expansion of 1 y 3x 1 2 upto the first three terms using the binomial expansion formula is 1 n x n n 1 2 x 2 1 1 2 y 3x 1 2 1 2 1 2 y 3x 2
The expansion is based on the high school identity 1 x n 1 x 1 x x 2 dots x n 1 which can be rewritten as frac 1 1 Math Input Extended Keyboard Examples Upload Input interpretation Series expansion at x 0 More terms Approximations about x 0 up to order 5 More terms Series
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A binomial theorem is a powerful tool of expansion which has applications in Algebra probability etc Binomial Expression A binomial expression is an algebraic expression that contains two dissimilar terms Eg a b a How do you use the binomial series to expand 1 1 x2 1 2 Precalculus The Binomial Theorem The Binomial Theorem 1 Answer Jim G Jan 5 2016 1 1 2x2 3
Here are series expansions some Maclaurin some Laurent and some Puiseux for a number of common functions 1 1 x 1 x x 2 x 3 x 4 x 5 for According to the theorem it is possible to expand the polynomial x y n into a sum involving terms of the form axbyc where the exponents b and c are nonnegative
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1 x 1 2 expansion - Math Input Extended Keyboard Examples Upload Input interpretation Series expansion at x 0 More terms Approximations about x 0 up to order 5 More terms Series