# How do you use the Nth term test on the infinite series #sum_(n=2)^oon/ln(n)# ?

##### 1 Answer

The Nth Term Test is a basic test that can help us figure out if an infinite series is divergent. It states that if the

Using this test with our series, we have:

#lim_(n->oo) n/ln(n)#

If we replace

#oo/ln(oo) = oo/oo#

Since we have an Indeterminate Form of

#lim_(n->oo) 1/(1/n) = lim_(n->oo) n = oo#

Because we end up with a non-zero answer, we know that the series diverges.