Can someone help me with this sum

  • Thread starter Bossieman
  • Start date
  • #1
5
0
sum (sin(nx)/n)
where n goes from 1 to infinity.
The result should be (1/2)*(pi-x) when 0(x(pi
and -(1/2)*(pi+x) when -pi(x(0

I need someone to show me how to attack this problem.
Thanks
 

Answers and Replies

  • #2
644
1
sin(nx)/n = RE[e^inx/n]
(Further Hint : log series)

-- AI
 
  • #3
mathman
Science Advisor
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Correction to TenaliRaman. sin is imaginary part, cos is real part.
 
  • #4
mathwonk
Science Advisor
Homework Helper
2020 Award
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I would try computing the fourier coefficents of x.
 
  • #5
644
1
mathman said:
Correction to TenaliRaman. sin is imaginary part, cos is real part.
OOPS!

-- AI
 

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