Approximating e

To the limits of your patience

The first approximation for e = 2.718281828459045 was discovered by Jacob Bernoulli. This approximation was shown on Fermat's Library.

e = \lim_{n \to \infty}^{} {(1 + \frac{1}{n})}^{n}

The calculator returns either an approximation and the associated error given an upper limit for n.

It is not clear if there is any upper limit to the choice of n.

Enter a number and hit the button: n = Limit of Calculation

Approximate (e) =
Error (%) =