If f(x) = In(x), then value of:
\(\displaystyle\lim _{m \rightarrow 0}\left[\displaystyle\lim _{n \rightarrow 0} \frac{f(2+m+n)-f(2+m)-f(2+n)+f(2)}{m n}\right]\)
1
\(\frac{1}{4}\)
2
\(\frac{1}{3}\)
3
1
4
\(-\frac{1}{4}\)
If f(x) = In(x), then value of:
\(\displaystyle\lim _{m \rightarrow 0}\left[\displaystyle\lim _{n \rightarrow 0} \frac{f(2+m+n)-f(2+m)-f(2+n)+f(2)}{m n}\right]\)