Find the Taylor series for the function *f*(*x*) = ln* x* at *a* = 1.

Answer

We have *f*(*x*) = ln *x*. We need to take derivatives of this function and evaluate at *a* = 1, then plug the resulting values into the formula.

Putting this information into the formula we have

Let's graph the original function *f*(*x*) and the first 4 terms of the Taylor series to make sure everything looks ok: