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. 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