The Taylor series for f(x) = √100+ x at a = 0 is Σn(x)". n 0 Find the first few coefficients. ✓100 со C1 = C2 = C3 I (100) -(100) 2 (100) 6 - Find the error in approximating ✓101 = f(1) using the third degree Taylor polynomial of f at a = 0. That is, find the error of the approximation ✓101 ≈ T3(1). The absolute value of the error is 101 (101) 6

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