Dependence of errors on x Consider f 1x2 = ln 11 - x2 and
Chapter 9, Problem 76(choose chapter or problem)
Dependence of errors on x Consider f 1x2 = ln 11 - x2 and its Taylor polynomials given in Example 8. a. Graph y = _ f 1x2 - p21x2 _ and y = _ f 1x2 - p31x2 _ on the interval 3 -12 , 12 4 (two curves). b. At what points of 3 -12 , 12 4 is the error largest? Smallest? c. Are these results consistent with the theoretical error bounds obtained in Example 8?
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