Liang LiMATH6B-02-S18-CasteelsAssignment Homework1 due 04/09/2018 at 11:59pm PDT1.(1 pt)Determine whether the sequencean=13n4+23n4+···+n3n4converges or diverges. If it converges, find the limit.Converges (y/n):Limit (if it exists, blank otherwise):Answer(s) submitted:•y•1/4(correct)2.(1 pt) Find the limit of the sequencean=(cosn)4n.
3.(1 pt) Determine whether the sequence is divergent or con-vergent. If it is convergent, evaluate its limit. If it diverges to in-finity, state your answer as ”INF” (without the quotation marks).If it diverges to negative infinity, state your answer as ”MINF”.If it diverges without being infinity or negative infinity, stateyour answer as ”DIV”.