i was wondering if you could help me out with this solution.... -- Given the following information of the function
I think that you want condition 3. to be f'(0) = 0
If you are to write the Taylor series that you have to assume that f(x) can de differentiated as many times as you like. Condition 1. then contains a great deal of information. First
Now if you differentiate both sides of condition 1. you get
Following this procedure you can find f(n)(0) for all n and hence you can construct the Taylor series.