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The number "e"

    There is another special number given the name "e", which stands for Euler's constant.   Leonhard Euler was a German? mathematician that worked in a lot of different branches of mathematics.

   e =  lim  (1 + 1/x ) ^ x   (^ means exponent)

    For instance,  if x = 2, then   (1 + 1/2) ^ 2  gives us (1.5) ^ 2 , which is 2.25

        If x = 4,  then (1 + 1/4) ^ 4  gives us  (1.25) ^ 4 , which is 2.4414...

        If x = 8,  then  (1 + 1/8) ^ 8 gives us (1.125) ^ 8,  which is 2.5657...

As you continue increasing the value for x, the number approaches a limit of

            2.718281828...        

 

The opposite of  "e" is  ln   , otherwise known as natural logarithm.

(last updated May 17, 1999)

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