Thursday, August 01, 2013
Binomial theorem for rational exponents
\(\displaystyle (1+x)^a = 1 + ax + a(a-1)\frac{x^2}{2!} + a(a-1)(a-2)\frac{x^3}{3!} + \cdots \)
where \(a\) can be any rational number including fractions and negative numbers !
\(\displaystyle (1+x)^a = 1 + ax + a(a-1)\frac{x^2}{2!} + a(a-1)(a-2)\frac{x^3}{3!} + \cdots \)
where \(a\) can be any rational number including fractions and negative numbers !