Calculate the Taylor polynomials T;(x) and T3(x) centered at a = 8 for f(x) = In(x + 1).

Q: Find the third Maclaurin polynomial to f(x) = e sinx

A: The Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where the center is at x=a=0…

Q: Find the Taylor the function at point a f(x) = In x, a=1

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Q: What is the nth Taylor polynomial of a function f(x) at x=c?

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Q: Find the Taylor polynomial with 4 nonzero terms about x = 0 for the function f(x) = ferª dx, f(0) =…

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Q: Let P(x) = 3–3x² +6x* be the fourth-degree Taylor polynomial for the function about x = 0. What is…

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Q: what is the 5th order taylor polynomial for f(x) = sqrt of 1+x where x=0

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Q: Use the third Taylor polynomial P3 (x) for f(x) = x + x ln x about o ƒ(2). 1 and evaluate

A: Given function is fx=x+xlnx. We have to evaluate f2 by using the third Taylor polynomial P3x for…

Q: Find the Taylor polynomial of degree 3 for the function f(x) = 2+about x = 3. T3(x) = +[ |(x − 3) +…

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Q: Find the Taylor polynomial of degree 3, centered at a = 2 for the function f(x) = √x + 6.

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Q: Find the Taylor expansion of the function, f(x) = ³√ sinx³ 3 around the point x = 0 up to the term X…

A: As per the question we are given the following function : f(x) = 3√(sin x3) And we have to find its…