Flag Algebra> (1+x)^-2 = ? Explain it. ----------------...
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(1+x)^-2 = ?Explain it.------------------------------

Sayantan Garai , 6 Years ago
Grade 10
anser 1 Answers
Arun

Last Activity: 6 Years ago

binomial expansion of(1+x)^n , where n is a negative power,

(1+x)^-2 = 1+nx +n(n-1)x^2/2! +n(n-1)(n-2)x^3/3! +… an infinite series true for |x| less than 1.

=1+(-2)x +(-2)(-3)x^2/2! +(-2)(-3)(-4)x^3/3! +…

=1–2x +3x^2 -4x^3 +…

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