Approximating ln x Let f 1x2 = ln x and let pn and qn be
Chapter 9, Problem 96(choose chapter or problem)
Approximating ln x Let f 1x2 = ln x and let pn and qn be the nthorder Taylor polynomials for f centered at 1 and e, respectively. a. Find p3 and q3. b. Graph f, p3, and q3 on the interval 10, 44. c. Complete the following table showing the errors in the approximations given by p3 and q3 at selected points. d. At which points in the table is p3 a better approximation to f than q3? Explain your observations.
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