Could someone plz explain how they got from step 1 to step 2, i don't know what hap'd to the factorial part :S(adsbygoogle = window.adsbygoogle || []).push({});

Question: Determine whether the following series converges.

n= infinity

Sum ln (n)

n=1 n!

Using the Ratio Test: lim absolute ((An+1)/(An))

n->infinity

Step 1. => lim (ln(n+1)/(n+1)!) x (n!/(ln (n))

Step 2. => lim ln(n+1)/((n+1)ln(n))

Link to solution: http://www.maths.uq.edu.au/courses/MATH1051/Semester2/Tutorials/prob9sol.pdf [Broken]

It's question 1. vi)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Determine whether the following series converges

**Physics Forums | Science Articles, Homework Help, Discussion**