Calculate the Taylor polynomials T₂ and T3 centered at a = 2 for the function f(x) = x² – 3x. (Use symbolic notation and fractions where needed.) T₂(x) = T3(x) =
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- Find the nth Taylor polynomial for the function, centered at c. f(x) = 1 x2 , n = 4, c = 3Find the nth Taylor polynomial for the function, centered at c. f(x) = ln(x), n = 4, c = 51. 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.