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Chadlee88

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Could someone please explain how they got from step 1 to step 2, i don't know what hap'd to the factorial part :S

Question: Determine whether the following series converges.

n= infinity

Sum

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

It's question 1. vi)

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

It's question 1. vi)

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