Hi there. I have this exercise which I'm trying to solve now. It says:

Using that find one Taylor development for the function

So, I've made some derivatives:

And then:

I have two problems with this. In the first place, the general expression that I've found (which is probably wrong) doesn't work for n=0, it does for the others values of n. I thought of starting the summation at 1, but I'm not sure if this is valid. In the second place I don't know how to use the relation the problem gives at the beginning. I can see that I have (1-x_0) for every term, but I couldn't make it fit inside the summation.

So this is what I got:

Bye there, thanks for your help and suggestions.