On the origin of natural logarithm e e=1+1+1/2!+1/3!+1/4!+… ..+1/n!+.=2.7182818284590.≈2.72 1 / 2 of them

On the origin of natural logarithm e e=1+1+1/2!+1/3!+1/4!+… ..+1/n!+.=2.7182818284590.≈2.72 1 / 2 of them

N! Is the factorial of N, equal to 1 * 2 * 3. * n this formula is obtained by Taylor expansion, Taylor expansion is, f (x) = f (0) + F '(0) x + (1 / 2!) f "(0) x ^ 2 +. + (1 / N!) f (0) n derivative * x ^ n + Lagrange remainder (this is an error term, generally can be ignored in the calculation is the derivative of 0) e ^ X or e ^ x, so e ^ 1 = e = e ^ 0 + 1 *