Question

Is the following series convergent or divergent:(-1)^(n) (ln n)/(n^(1/2)) As n goes from 1 to infinity.

Answer 1

lnn/sqn is a decreasing sequence so the frequently series bilt by it is a convergence series.

Answer 2

How can I prove it by a test?

Answer 3

this is that i said was tested before, and you just use it for some frequently series.

Answer 4

I can't prove it by an alternating series?

Answer 5

you had better just show lnn/sqn is a decreasing seq.
alternating means frequently.