Grade 10Algebra
(1+x)^-2 = ?Explain it.------------------------------
(1+x)^-2 = ?
Explain it.
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1 Answer
Arun
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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