Find the coefficient of x^3 in the binomial series for sqrt(1+x).

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- Apr 25th 2010, 04:41 PMkiddopopCoefficient for Binomial Series
Find the coefficient of x^3 in the binomial series for sqrt(1+x).

- Apr 25th 2010, 07:21 PMbecko
binomial series = Taylor series

Just find the 3rd derivative of sqrt(1+x) and evaluate it at x=0. The coefficient of x^3 is in the Taylor series of f(x) around x=0 is:

$\displaystyle \frac{{f}^{(3)}(0)}{3!}$