Question

expand (1+x)-¹ using binomial theorem​

Answer 1

Answer:

Binomial expansion for this is followed the same way as expanding larger power expansions

So (1+x)^-1 = 1 + (-1)x + (-1)(-1–1)/2! x^2 + (-1)(-1–1)(-1–2)/3! x^3 +…….

So simplifying we get

1 -x + x^2 - x^3 +….

This followes a simple formula given by

(1 + x)^n = 1 + nx + n(n-1)/2!. x^2 + n(n-1)(n-2)/3!. x^3 +…..

Bear in mind this will result in an infinite series and will converge for values belonging to |x| < 1

Step-by-step explanation:

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