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We are asked to calculate the third-degree Taylor polynomial of $$ f(x) = (1+x)^{1/2} $$ about $x_0 = 0$ manually. --- ### Step 1: Formula for Taylor Polynomial The 3rd-degree Taylor polynomial of $f(x)$ about $x_0 = 0$ is: $$ P_3(x) = f(0) + f'(0)x ___ _______ _______ __________ ________.
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