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If the function f(x)=1+xf(x) = \sqrt{1 + x}f(x)=1+x is expanded out in terms of powers of xxx such that f(x)=∑k=0∞akxk,f(x) = \sum\limits_{k=0}^{\infty} a_{k} x^{k},f(x)=k=0∑∞akxk, what's the coefficient a3a_{3}a3 of the x3x^{3}x3 term?
Express your answer as an exact decimal.
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