does seq. An = [ (-1)^(n + 1) ] / [2n - 1] converge or...?

[mindy88]

Does the following sequence converge or diverge?

An = [ (-1)^(n + 1) ] / [2n - 1]

The answer is that it converges to 0, but I'm not sure where I should begin. Please help. Thank you!

 

[galactus]

The series does not converge to 0, but the limit of 1/(2n-1) does.

Using the laternating series test, what does that tell you?.

 

[mindy88]

This isn't a series problem, it's a sequence problem.

would i compare it to 1/(2n-1)? and because that goes to 0, so does the original problem because of the comparison test?

i didn't learn the alternating series test yet