Question

If the sequence diverges, does it mean that the series also diverges?

Answer 1

@zepdrix @518nad

Answer 2

medal for medal?

Answer 3

@Apex no.

Answer 4

Yes, but more than that though.

If the sequence doesn't converge to 0, then the series diverges.

Answer 5

Oh okay I see. Thanks!

But I am doing reviewing integral tests to see if a series diverges/converges. Is there a specific time when i should be using the integral test? Or is just a method that can be used and will be instructed to do so?

Answer 6

My book says to use it when the function is easy to integrate, lol.

I'm looking at a solution manual and they didn't use it on a single problem -_- grr that's frustrating...

Answer 7

Haha it's okay. I can just ask my professor in person tomorrow.