We are interested in the first few Taylor Polynomials for the function
f(x) = 2x²+ 3e-*
centered at a = 0.
To assist in the calculation of the Taylor linear function, T₁(x), and the Taylor quadratic function, T₂(x), we need the following values:
f(0) =
f'(0) =
f''(0) =
Using this information, and modeling after the example in the text, what is the Taylor polynomial of degree one:
T₁(x) =
What is the Taylor polynomial of degree two:
T₂(x) =
