3. [20] Find the third Taylor polynomial P3(x) for the function f (x) = ex+1 about to = -1. a) Use P3(-0.5) to approxima

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3 20 Find The Third Taylor Polynomial P3 X For The Function F X Ex 1 About To 1 A Use P3 0 5 To Approxima 1 (74.42 KiB) Viewed 85 times

3. [20] Find the third Taylor polynomial P3(x) for the function f (x) = ex+1 about to = -1. a) Use P3(-0.5) to approximate f(-0.5). Find the actual error E(-0.5) = \f(-0.5) – P3(-0.5)). Find an upper bound for the error E(-0.5) using the error formula, and compare it to the actual error. b) Find an upper bound for the error E(x) = \f(x) – P3(x) in using P3(x) to approximate f(x) on the interval (-1,0).