Determine whether the sequence converges or diverges. If it converges, give the limit.?
60, -10, 5/3, -5/18,

Question

Determine whether the sequence converges or diverges. If it converges, give the limit.?
60, -10, 5/3, -5/18,

anonymous · Answer

seems like it converges to 0

anonymous · Answer

@Kanwar245 How do you know that?

e.mccormick · Answer

@Kanwar245 Umm, it is being added to by a value that is larger than it is being subtracted by, so why would it converge at 0 rather than diverge or converge at some point larger than 0?

e.mccormick · Answer

The fraction looks like it will eventually be a small over large, so 0. That implies it should converge. The rest is finding the limit. Have you tried this reference for the topic? http://tutorial.math.lamar.edu/Classes/CalcII/ConvergenceOfSeries.aspx