what is the purpose of the value e?
In: Mathematics
e is a rate of growth (or decay) shared by all continually growing (or decaying) functions.
So say we start with a value of x, and x is increasing at a rate of x • 2 over a period of time. You might think that over that period of time x would double to 2, but that’s not the case, because as x grows larger it will start increasing faster, so the actual value you end up with ends up slightly larger than 2.
Through a lot of math, it can be found that the true value of that idea is approximately 2.718, which is e.
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