The power series representing the integral of sin(x)/x, denoted as g(x)=∫sin(x)/x, can be derived using the Maclaurin series expansion of sin(x). The Maclaurin series for sin(x) is given by sin(x) = x - (x^3/3!) + (x^5/5!) - (x^7/7!). By dividing this series by x and integrating term by term, one can obtain the power series for g(x). This method is confirmed as the correct approach in the discussion.
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Yes, that's what you do.Ryantruran said: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