Determine whether the sequence is divergent or convergent. If it is convergent,

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.

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

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