- #1
Jimbo57
- 96
- 0
Homework Statement
Find the limit of this sequence:
(-1)n(2n3)/(n3+1)
Homework Equations
The Attempt at a Solution
At first glance I would attempt to use the absolute value theorem which gives an answer of 2 as n approaches infinite. My question is, when the theorem fails ( limit =/ 0) then does that mean the sequence is divergent? I haven't seen any documentation that explicitly states an is divergent if the absolute value theorem doesn't hold.