Find the fifth degree Taylor polynomial approximation of T _{5} (x) centered at a=0 to the function f (x) = cos (x); f (x) = sin (x); f (x) = e^{x}.

Question

Mathematics

Jameson Bender

20 June, 12:37

Find the fifth degree Taylor polynomial approximation of T _{5} (x) centered at a=0 to the function f (x) = cos (x); f (x) = sin (x); f (x) = e^{x}.

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Solis · Answer 1

The question ask to find the fifth grade of Taylor Polynomial approximation of the said equation and also its function. Based on my own calculation and following some theories, the best answer would be P5 (x) = 1+x + x^2/2+x^3/3!+x^4/4!+x^5/5!. I hope you are satisfied with my answer and feel free to ask for more