Power series representing ∫sinx/x

  • Thread starter Ryantruran
  • Start date
  • #1

Homework Statement



Find the Power Series representing
g(x)=∫sin(x)/x


Homework Equations



sin(x)= x-(x^3/3!)+(x^5/5!)-(x^7/7!)


The Attempt at a Solution



I Havent attempted yet but was wondering if you start with the maclaurin series of sin(x)
then divide everything by x then integrate the entire summation
 

Answers and Replies

  • #2
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Homework Statement



Find the Power Series representing
g(x)=∫sin(x)/x


Homework Equations



sin(x)= x-(x^3/3!)+(x^5/5!)-(x^7/7!)


The Attempt at a Solution



I Havent attempted yet but was wondering if you start with the maclaurin series of sin(x)
then divide everything by x then integrate the entire summation
Yes, that's what you do.
 

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