# Mysterious Function

Calculus Level 3

It is given that $$\sum _{ n=1 }^{ \infty }{ f^{ (n) }\left( x \right) = } f\left( x \right)$$ for all values of $$x$$, where $$f^{ (n) }\left( x \right)$$ represents the $${ n }^{ th }$$ derivative of $$f\left( x \right)$$. If $$f(0)=1$$, find the value of $$\ln { f\left( 2 \right) }$$.

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