Find the seires expansion of up to
I suppose then we would have but i don't know how to proceed after this.
If you do not know the change of base relation then stop doing this and go back and learn the propoerties of the functions.
Also always specify the base of a if it is not a natural logarithm. You teacher may think they are teaching a convention when they tell you denotes and denotes but its not a universal convention.
Ok I done that and checked the answer and it was my answer would have been .
The next part of the question is:
Assuming the validity of the process, differentiate as given to show that as far as the term in , .