Let {Xn} and {yn} be bounded sequences (from the previous exercise we know that {Xn+yn} is bounded).
a) Show that 004-11(lim sup x) + (lim sup y) lim sup (x+y).200Hint: See previous exercise.
b) Find an explicit {x} and {yn} such that(limsup x) + (lim sup y,,)> lim sup (Xn+yn).12-00004-11Hint: See previous exercise.