1. Inverse of (1 – x):
4. Taylor’s series for f(x) around x = x0:
where each prime on f indicates a differentiation with respect to x.
5. Sine function:
6. Hyperbolic sine function:
7. Hyperbolic cosine function:
8. Exponential function:
Gradshteyn, I. S., and Ryzhik, I. M., Table of Integrals, Series, and Products, 5th ed., Academic Press, New York, 1993. (There are numerous excellent reference books available ...