The base of the natural logarithm; Its value is approximately 2.718 and has been calculated to 869,894,101 decimal places by Sebastian Wedeniwski. The number e was first studied by the Swiss mathematician Leonhard Euler in the 1720s, although its existence was more or less implied in the work of John Napier, the inventor of logarithms, in 1614. Euler was also the first to use the letter e for it in 1727 (the fact that it is the first letter of his surname is coincidental). As a result, sometimes e is called the Euler Number, the Eulerian Number, or Napier's Constant. It was proven by Euler that "e" is an irrational number, so its decimal expansion never terminates, nor is it ever periodic.

The constant e is base of the natural logarithm. e is sometimes known as Napier's constant, although its symbol (e) honors Euler.

e is the unique number with the property that the area of the region bounded by the hyperbola y=1/x, the x-axis, and the vertical lines x=1 and x=e is 1. (see IMAGE tab)

Notes

The limit in the markup is for n to infinity. I have yet to figure out how to scribe that.

Also, the IMAGE tab shows the area for this integral: ===>  int_1^e(dx)/x = ln e =1.