Determine whether the sequence is divergent or convergent. If it is convergent,
ID: 2843626 • Letter: D
Question
Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV.
Explanation / Answer
n^2 is positive
hence as n goesto infinity, n^2 goes to infinity..
hence arctan(n^2) ---> pi/2
moreover, 12^n goes to infinity
hence
for n --> INF
a_(n) --> 0 + 3pi/2
= 3pi/2