Which gives the better approximation of $4 e^{03}$ , the Taylor polynomial about zero with three terms, or the Fourier polynomial with three terms?
A)Taylor
B)Fourier
C)Both give the same approximation.

Question

Quizplus · Accepted Answer

The Taylor polynomial provides a better approximation for $4e^{0.3}$ because Taylor polynomials are specifically designed to approximate functions like $e^x$ near a point (in this case, about zero), and they can do so with high accuracy using just a few terms. Fourier polynomials are better suited for periodic functions.

Which Gives the Better Approximation Of 4e034 e^{03}4e03 , the Taylor Polynomial About Zero with Three Terms, or Taylor

Which Gives the Better Approximation Of $4 e^{03}$ , the Taylor Polynomial About Zero with Three Terms, or Taylor