Answer Happy

(i) [2 points] For any real numbers a, b E R, show that a+b 2 2 (ii) [4 points] Let {n} and {yn} be two convergent sequences such that lim n = x, n→∞ min{a, b} = - lim yn = y. n→∞ Show that limn→∞ min{Xn, Yn} = min{x,y}.