Find/calculate the 3rd degree Taylor polynomial of the function f(x) = xcos(x) that is in the heighborhood of x = 0 as well as the heighborhood of x = (π/2)

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milcah answered 1 year ago

Find/calculate the 3rd degree Taylor polynomial of the function f(x) = xcos(x) that is in the heighborhood of x = 0 as well as the heighborhood of x = (π/2)

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Using the function f(x)=ln(1+x) a. Find the 8 degree taylor polynomial centered at 0 and simplify. b. using your 8th degree taylor polynomial and taylors inequality, find the magnitude of the maximum possible error on [0,0.1] c.approximate ln(1.1) using your 8th degree taylor polynomial. what is the actual error? is it smaller than your estimated error?Round answer to enough decimal places so you can determine. d. create a plot of the function f(x)=ln(1+x) along with your taylor polynomial. Based on...

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Find/calculate the 3rd degree Taylor polynomial of the function f(x) = xcos(x) that is in the heighborhood of x = 0 as well as the heighborhood of x = (π/2)

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Find/calculate the 3rd degree Taylor polynomial of the function f(x) = xcos(x) that is in the heighborhood of x = 0 as well as the heighborhood of x = (π/2)

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