Xn 1 Divided By X 1 Formula

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Show that xn 1 is divisible by x 1 when and only when n is an odd integer.

Xn 1 divided by x 1 formula. X dx left that you havent taken an x from and you can multiply your xn1 by dx. Use induction to prove that for all natural numbers x and n x n 1 is divisible by x 1. 0 xn 1 is always divisible by x 1.

Now divisor x 1. 1 1 x 1 1 x equivalent fraction. Now we know that when a polynomial fx is divided by x a the remainder is fa.

Interval of convergence is 11. Stack exchange network consists of 176 qa communities including stack overflow the largest most trusted online community for developers to learn share their knowledge and build their careers. Now we have to find out if it actually converges on those points by inputting the values of x.

This turns out to be undefined. 1 x 1. 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.

Now f1 1n 1. I figured id start with the base case x1 n1. Thats where the ndxxn1 comes from.

Does that mean the question is invalid or am i doing something wrong. Hopefully all my math is right. Previous next ucles o level additional mathematics 2 qp 4712 1968 q5iii question reproduced by kind permission of cambridge assessment group archives.

Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor. The equivalent fraction and the other fraction involved in the calculation share the same denominator. If x 1.

The fraction thus generated looks different but has the same value as the whole common denominator. Therefore the remainder will be f1.

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