Fundamentals of Physics I by R. Shankar;

Author:R. Shankar; [Shankar, R.]
Language: eng
Format: epub
Publisher: Yale University Press
Published: 2014-01-15T00:00:00+00:00

This way we can raise e to various things: real numbers, complex numbers, matrices, whatever you want. If you have a pet, you can put that up in the exponent. Of course, you’ve got to be careful. You cannot raise e to dog, because the units don’t match: there’s a dog here and dog2 there, and so on. So you should divide it by some standard dog, like President Obama’s dog. Take some standard and divide by it; then you have something dimensionless like this:

which converges for dogs of any size.

That’s a fantastic leap of imagination. Let’s consider the series for eix:

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