Theoretical Mechanics: Fall-2021
Practice Power Series: Due Day 14

1. Power Series Practice
   1. Calculate the \(n=0, 1, 2, 3, 4\) coefficients of the power series for \(\cos{z}\) expanded around \(z=\pi\). Using these coefficients, find a power series approximation for this function.
      
   2. Plot both the original function and your approximation.
   3. For what values of \(z\) is your approximation “good”?