Find the third Taylor polynomial Pfx) for the function fix) = (x 1) Inx about xy = 1. a
Chapter 1, Problem 13(choose chapter or problem)
Find the third Taylor polynomial Pfx) for the function fix) = (x 1) Inx about xy = 1. a. Use #3(0.5) to approximate /(0.5). Find an upper bound for error \f(0.5) #3(0.5)| using the error formula and compare it to the actual error. b. Find a bound for the error |/(x) #3(x)| in using #3(x) to approximate fix) on the interval [0.5, 1.5]. c. Approximate f0'^ f(x) dx using P^(x) dx. d. Find an upper bound for the error in (c) using J^5 |#3(x) dx\ and compare the bound to the actual error.
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