For each of the following sequences a,.ne N. determine lim supa,, and lim inf a,. allowing +x and -[infinity] as values. (a) a,, = sin 117 6 [5] (b) an = (-1)"n [4] n if n even [4] ¹ if nodd 22 2.2 Prove that for a bounded sequence a,. ne N in R. [5] lim supa, = lim infa 31-400 B1X