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- 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.In the given equation as follows , find the nth Taylor polynomial for the function, centered at c :- f (x) = 1/ x2, n = 4, c =-2Find T4(x) Taylor polynomial of degree 5 of the function f(x)=cos(x^3) at a=0
- 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]Determine the fourth Taylor polynomial of f(x) = ln(1 - x)at x = 0, and use it to estimate ln(0.9).Find the third-degree Taylor polynomial of f (x) = sin x atx = 0.