*e*(ie. 2.71828...) came up in compound interest calculations.

For example, if you have 1 dollar, and a compound interest of 100% per year, and the interest is continuously calculated, after one year you'll have exactly

*e*dollars.

The generic formula for this is (1+1/n)

^{n}, where n is the amount of times compound interest is calculated during the year. As n approaches infinity (which means it's continuously calculated), that formula approaches

*e*.

Is the fact that e

^{x}is its own derivative just a coincidence, or is there a correlation with the above?