[1] **viXra:0703.0011 [pdf]**
*submitted on 10 Mar 2007*

**Authors:** Gerardo Alvarado

**Comments:** recovered from sciprint.org

I deduce a series which satisfies the fundamental theorem of calculus without dependence on an
explicit function. I prove Taylor's theorem and show that it is closely related. I deduce a series for the
logarithm function and from this series deduce the power series representation of the logarithm function
along with the interval of convergence. I also solve an ordinary differential equation.

**Category:** Functions and Analysis