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1. Homework Statement

∞

Ʃ ln(n!)/(n^3)*ln(n)

n=2

2. Homework Equations

Ratio test, which states:

Lim as n tends to infinity of |(An+1)/An|=ρ would lead to convergent series if the limit is less than 1

it diverges if ρ is greater than 1

test is inconclusive if ρ=1

3. The Attempt at a Solution

I thought of applying Ratio test but didn't know how to cancel out terms

∞

Ʃ ln(n!)/(n^3)*ln(n)

n=2

2. Homework Equations

Ratio test, which states:

Lim as n tends to infinity of |(An+1)/An|=ρ would lead to convergent series if the limit is less than 1

it diverges if ρ is greater than 1

test is inconclusive if ρ=1

3. The Attempt at a Solution

I thought of applying Ratio test but didn't know how to cancel out terms

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