Find the value of \(\rm \frac{m -n}{m +n} + \frac{1}{3} \left( \frac{m -n}{m + n} \right)^3 + \frac{1}{5} \left( \frac{m - n}{m + n} \right)^5 + .... + \infty \)
1
\(\log _e \left( \frac{m}{n} \right)\)
2
\(\rm \log _e \left( \frac{n}{m} \right)\)
3
\(\rm \log_e\left( \frac{m -n}{m + n} \right)\)
4
\(\frac{1}{2}\rm \log_e\left( \frac{m }{ n} \right)\)