In my Calc II class, we're just starting convergence tests and all the examples are very convinient and they work perfectly (obviously, since they are examples), but my professor couldn't really answer my question.
Is there a time, or some examples, where convergence tests will contradict each other? Like the ratio test says the series will converge, but the limit comparison test says it diverges, etc.
And if there are examples, how would I know which one is correct?
Again, sorry if this is trivial...