Exponential and Logarithmic Series


   
 
Exponential Series
If x is any complex number then the series is called the exponential series. It can be proved mathematically that this exponential series has a sum and we denote it by .
 
 
It can also be proved that ex + y = ex.ey for complex numbers x and y.
 
Theorem:
 
If x is a rational number, then the sum (ex) of the exponential series
 
 
     
   
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