Problem-Solving: Fall-2025
W1 D3 Practice : Due W1 D3

1. Power Series Practice S0 5365S
   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”?
2. Sensemaking from Graphs of Power Series I S0 5365S For the following graphs, identify the minimum order in a power series expansion that could accurately describe the curve for all values of the independent variable.