How do you check convergence of 1 / ( n * ln(n)) in the p-series test

You don’t use the p-series test as that test only applies to terms of format 1/n^p , the extra ln(n) term means to use a different test .

That’s why we created the amazing all-in-one series convergence tester under F2 7 : Enter your series as
1 / ( n * ln(n) ) to learn that it diverges by the integral test : Since the corresponding integral diverges , this series diverges.