If mxm − nxn = 0 then what is the value of \(\frac{1}{x^{m}+x^{n}}+\frac{1}{x^{m}−x^{n}}\) in terms of xn?
1
\(\frac{2mn}{x^{n}\left(n^{2}+m^{2}\right)}\)
2
\(\frac{2m}{x^{n}\left(m^{2}−n^{2}\right)}\)
3
\(\frac{2mn}{x^{n}\left(n^{2}−m^{2}\right)}\)
4
\(\frac{2mn}{x^{n}\left(m^{2}−n^{2}\right)}\)