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The third-degree Taylor polynomial for a function \( f(x) \) about \( x_0 = 0 \) is given by: \[ T_3(x) = f(0) + f'(0)x + \frac{f''(0)}{2!}x^2 + \frac{f'''(0)}{3!}x^3 \] ### Step 1: Compute \( f(x) \) and its derivatives Given: \[ f(x) = (1 + _____ ____ ________ ____ __________ _______ ______ _______ _________ ________ ___ ______.
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