2. Suppose that f : t > R is continuous at C, and that f((:) > k for some real number k. Prove that there exists a number (5 > 0 so that f(:1:) > k for all :1: E (c (31 c + 5). 3. Consider functions f : R > R and g : R > R and real numbers a, L and 11:1. Assume that lim f(:1:) = L, lim 9(33) 2 M' and L 0 935'1'1 xra so that if 0