Question: (a) Write down the Taylor polynomials of degrees 2 and 4 at t = 0 for the function f(t) = et. (b) Compare their accuracy

(a) Write down the Taylor polynomials of degrees 2 and 4 at t = 0 for the function f(t) = et.
(b) Compare their accuracy with the interpolating and least squares polynomials in Examples 4.14 and 4.18.

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