Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = 14 tan(x). (Use symbolic notation and fractions where needed.) T2(x) = T3(x) =
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- calculate the Taylor polynomials T2 and T3 centered at x=a for the given function and value of a.Calculate the Taylor polynomial T3 centered at x = a for the given function and values of a andEstimate the accuracy of the 3th degree Taylor approximation, f(x) ≈T3(x), centered at x = a onthe given interval. 2) f(x) = ln(1 + 2x), a = 1, and [0.5,1.5]Find the 12th-degree Taylor polynomial for f(x)=e^(2x^3 ) centered at 0.
- Find the 3rd degree Taylor polynomial for the function below centered at pi/3 f(x)=sin xFind the Taylor polynomial T2 (x) and compute the error If(x) – T2 (x)I for the given values of a and x. f(x) = cos(x), a= 0, x= pi/41. determine the second-order Taylor approximation of the polynomial p(x) = x^5 + 6x^4 + x^2 − 1 at the points x = 0 and x = 1.