Estimate the sum of to within 0.01. Use a Taylor polynomial of degree 3 to appro

Question

Estimate the sum of to within 0.01. Use a Taylor polynomial of degree 3 to approximate about c = 1 Determine the number of terms needed to obtain the sum of to within 10-6 Use a known Taylor polynomial with 3 non-zero terms to estimate the value of 1/7 Use a known Taylor polynomial at c = - with 4 non-zero terms to estimate the value of 6 lnx4-(*4-l) Use a known Taylor series to conjecture the value of Find the Taylor series about c = 2 and its interval of convergence for/(x) = e2x. Determine whether is increasing, decreasing or neither. decreasing increasing neither Use graphical and numerical evidence to conjecture the convergence or divergence of Find the power series representation (about c = 0), the radius of convergence and the interval of convergence of

Explanation / Answer

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(1) -0.19

(2) 1.352

(3) 200

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