Find the sum of the telescoping series ∑n=1∞ln((n+1)2n(n+2))\sum_{n=1}^{\infty} \ln\left( \frac{(n+1)^2}{n(n+2)} \right)∑n=1∞ln(n(n+2)(n+1)2).
ln(2)\ln(2)ln(2)
111
ln(1/2)\ln(1/2)ln(1/2)
Diverges