- #1
zyphriss2
- 18
- 0
Find the Fourier expansion of one period of f(t)=1+t absolute value of t<1
I found this to be 1+2/pi Sigma(0 to infinity) ((-1^(n+1))/n)sinnpit by just the standard methods of the a0 an and bn formuals, which I know is correct
Now the parts I am having problems with is part b and c which our teacher has not covered much at all and I cannot find any help online.
Part b. Use the Fourier expansion of f to find the sum of the Series
Sigma(0toinfinity)(-1^n)/(2n+1)
Part C. If f denotes the function defined on (-infinity to infinity) by the Fourier series of f, find F(1)+F(-5)-3F(0)
I found this to be 1+2/pi Sigma(0 to infinity) ((-1^(n+1))/n)sinnpit by just the standard methods of the a0 an and bn formuals, which I know is correct
Now the parts I am having problems with is part b and c which our teacher has not covered much at all and I cannot find any help online.
Part b. Use the Fourier expansion of f to find the sum of the Series
Sigma(0toinfinity)(-1^n)/(2n+1)
Part C. If f denotes the function defined on (-infinity to infinity) by the Fourier series of f, find F(1)+F(-5)-3F(0)