Expert: Paul Klarreich - 12/2/2008

Question
Evaluate the integral (e^x-1)/x as an infinite series using sigma notation

Answer
Questioner:   michael
Category:  Calculus
Private:  No
 
Subject:  infinite series
Question:  Evaluate the integral (e^x-1)/x as an infinite series using sigma notation
..................................
Hi, Michael,

e^x = 1 + SUM x^k/k!  
         k=1

e^x - 1 = SUM x^k/k!  
         k=1

(e^x-1)/x = SUM x^(k-1)/k!  
           k=1

Integrate:
{
|(e^x-1)/x = SUM x^k/(k*k!)
}            k=1