Telescoping and convergence

Telescoping and convergence

3 marks
Tim Gan Math Original

Determine whether \(\sum_{r=1}^{\infty}\ln\left(\frac{r+3}{r+2}\right)\) converges.[3]

Solution:

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Answer:Diverges to \(+\infty\), since \(S_n=\ln((n+3)/3)\).

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