\(b = \left( 1 + \frac{1}{n} \right)^n\)
\(n = 1, b = 2\)
\(n = 10, b = ( 1.1 )^{10} = 2.593742\)
\(n = 100, b = ( 1.01 )^{100} = 2.704814\)
\(n = 1000, b = ( 1.001 )^{1000} = 2.716924\)
\(n = 1000000, b = ( 1.000001 )^{1000000} = 2.718280\)