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1 xn expansion formula. Note that while the previous series stops this one goes on forever. X 2 n 5 output. Stack exchange network consists of 176 qa communities including stack overflow the largest most trusted online community for developers to learn.

Sum 10 1 1 1 1 1 1 1 1 1 1. Sum 31 1 2 4 8 16. If you want the taylor series expansionit can be found easily using the binomial theorem 1xn 1 nx nn 12 x2 nn 1n 23x3 nn 1n 2n 3.

What is the expansion for 1 x n. X 1 n 10 output. Use the binomial expansion theorem to find each term.

Is there some general formula. Find the expansion of 5x 2 12 we need to transform this so it looks like 1 x 12 so lets take out a factor of 2. We can write down the binomial expansion of 1xn as 1dfracn1x dfracnn 12x2 dfracnn 1n 23x3 this is true for all real.

In elementary algebra the binomial theorem or binomial expansion describes the algebraic expansion of powers of a binomialaccording to the theorem it is possible to expand the polynomial x y n into a sum involving terms of the form ax b y c where the exponents b and c are nonnegative integers with b c n and the coefficient a of each term is a specific positive integer depending. Could find only the expansion upto the power of 3. Given an integer x the task is to print the series and find the sum of the series.

Providing x 1.

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