Prove the following proposition Proposition. Let negl1 and negl2 be negligible functions. Then, 1. The function negl3 defined by negl3(n) = negl1(n) + negl2(n) is negligible. 2. For any positive polynomial p, the function negl4 defined by negl4(n) = p(n)negl1(n) is negligible.

Prove the following proposition Proposition. Let negl and negl2 be negligible functions. Then, 1. The function negl3 defined by negl3(n) negh(n) + negl2(n) is negligible. 2. For any positive polynomial p, the function negl4 defined by negl4 (n) p(n).negli (n) is negligible