The exponential function, , has the property you are talking about.
??? the first derivative of x is 1 and the "jth derivative of x" for j> 1 is 0. So such a series would be x+ 1+ 0+ 0+ 0...= x+ 1.Again, this series can be expressed in the function
Now, my question is does there exist a function that expresses the series
where is the jth *derivative* of x?
(...and I guess or something like that)