Great job Greg! From your presentation in class and this online post, I believe you did very well on this proof. My only comment would be that in parts b/c where you supplied a more formal proof to your claims, you should address the theorem you are working with. I believe you used the Absesnce of Uniform Convergence theorem.
https://richmond.qualtrics.com/jfe/form/SV_aVMdxEGishTjY8d