General Binomial Theorem

Binomial Theorem of Class 11

General Binomial Theorem

If n ∈ R, -1 < x < 1 , then

(1 + x)n = 1 + nx + General Binomial Theorem+…..∞

Note

(a) If n ∈ R n > 0 then –1 ≤ x < 1

(b) nCr can not be used because it is defined only for natural numbers

(c) If x be so small then its square and higher powers may be neglected then approximate value of (1 + x)n = 1 + nx

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