Find the coefficient of x^3 in the binomial series for sqrt(1+x).
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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: $\displaystyle \frac{{f}^{(3)}(0)}{3!}$
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