1. Give an example of a function f with domain (-oo, oo ) such that limx-+0 f (a) diverges while limn-+0% an converges where an = f(n). 2. Give an example of two sequence { an } and { bn } such that limn-+0% an = 0, limn-+0% bn = 0 and limn too by an = 2TT