About Euler’s Number (Exponential Constant ) By Samar Ch. Dey In the discussion of mathematical constant the number ‘e” is the base of the natural logarithm . It is the Unique number whose logarithm is equal to 1. The numerical value of e is e = 2.71828182845904523536028747135266240097754… Sometimes, it is known as Euler’s Number after the Swiss mathematician Leonhard Euler. Simply it is called Euler’s constant. The number ‘e’ is also known as Napier’s constant . The constant was discovered by the Swiss mathematician Jacob Bernoulli in 1683 while he was studying compound Interest. This content ‘e’ can be written by the limit Which gives a pretty nested radical result when x is taken to the power of both side. Calculus : The function f(x) = e x is called the (Nataural)exponential function , and is the uniqueexponential function equal to its derivative [ i e . ( e x )= e x ]