Home  18.013A  Chapter 2  Section 2.1 


A series expansion of a function about an argument x_{0} is an expression of the form
A + B(x  x_{0}) + C(x  x_{0})^{2} + D(x  x_{0})^{3} + ...
that can go on forever. These are amazingly useful.
The condition that exp x is its own derivative gives relationships between the coefficients, A, B, C,... that allow you to deduce what they all are quickly, given A.

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