Convergence in the Mean. I attached a picture of a handwritten proof cuz I don't know how to use Latex and there is too much hullabaloo to type it out without the notation. I'm wondering if my proof is legit - i make the size of 1/n be less than epsilon/kM....i'm not sure....hmmmmmmm, I think it's fine though because that k is fixed. Let me know if my proof is satisfactory. a .jpg file is attached with the proof.