Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 18 sin(x), a = . %3D (Express numbers in exact form. Use symbolic notation and fractions where needed.) T3(x) = T3(x) =
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- find the Taylor polynomial at x = a for the given function. f (x) = x ln(x), T4, a = 1Calculate 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]1). Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for the given function and value of a. f(x) = ln(x) x , a = 1 please show step by step clearly .
- Given: f(x) = ln(x + 2). 1. Find the third degree Taylor polynomial of f centered at 1. 2. Use the answer in number 1 to approximate the value of ln(3.05). Do not simplify.Determine the nth Taylor polynomial for f(x) = e^x at x = 0.approximate f(x)=x^(1/3) by a taylor polynomial of degree 2 at a=8. How accurate is the approximation when...