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Then xp p xn1 1 x 1p xn1 1.
X 1x n formula. P xn1 1 x 1 q p 1. Integral of 1xn how to integrate it step by step. This is a geometric series with first term 1 and common ratio x.
If n is positive integer or positive rational number we can have the binomial expansion of math1x nmath as an infinite series as follows. This can greatly simplify mathematical expressions as in the example below and is a. Let the sum of given series be series be q and pq1.
Httpsyoutubems7il0vp6ha integral of 1x2. The benefit of this approximation is that is converted from an exponent to a multiplicative factor. 1xn 1 x 1 1 xn 1 x.
1 xn1 x but youre lacking the first 1 so your sum is one less that is 1 xn1 x 1. The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number xit states that it is valid when and where and may be real or complex numbers.
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