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Home | 18.013A | Chapter 2 | Section 2.1 |
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A series expansion of a function about an argument x0 is an expression of the form
A + B(x - x0) + C(x - x0)2 + D(x - x0)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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