A sequence of events {An, n ≥ 1} is said to be an increasing sequence if A1
⊂ A2
⊂ ∙∙∙ ⊂ An
⊂∙∙∙ whereas it is said to be decreasing if A1 ⊃ A2 ⊃∙∙∙⊃ An ⊃∙∙∙. If {An, n ≥ 1} is increasing sequence of events, then limn→1∞ An = ∪∞i=1 An Similarly, if {An, n ≥ 1} is decreasing sequence of events, then limn→1 An = ∩∞i = 1 An Show that if {An, n ≥ 1} is either an increasing or a decreasing sequence of events, then limn→∞ P (An) = P (limn→∞ An).