Series Test Help
Hi I need help on my calculus homework. I just need some confirmation on some rules/tests for series. One is the Test for Divergent. Does the series diverge if the limit is infinity?
Also do you guys know any websites that has online forums that help on math problems?
December 5, 2015
5 Comments • Newest first
@ulti25: Oh my bad. Thanks for that clarification. Been using "Test for Divergence" all over the place.
Thanks
@xronellx:
The test in particular is called the Nth Term Test.
https://en.wikipedia.org/wiki/Term_test
Just saying there's no such thing as one single "Test for Divergence", there are many tests you can do on infinite series to test for their divergence.
But yeah, that's pretty much what it means. The series is divergent because it doesn't converge to a finite value.
@ulti25: Thanks I'll try using that website.
Ok that makes sense. But could I say that because of the test, Test for Divergence, the series is divergent since it equals to infinity.
Test for Divergent? Divergent was a terrible book. Legend is much better
Assuming you're asking if the limit of a series is infinity, then yes, it diverges. The result means that as n grows, the value of the numbers being added to the sum also grows, so the sum can't ever converge to a finite value.
You can try math.stackexchange for questions, just be sure that you have a clue about what you're doing and can ask about what specifically you don't understand.