Hello Kevin,
Esentially, in this problem, you are given the coefficient of the sine term of the Fourier series expansion for the function g(x). All you have to do is take the sum of the first N sine terns multiplied by their coefficients.
Here's the code that does it for the first 8 terms. You can modify the code according to you requirement and format the output using the fommands mentioned in the problem statement.
N = 8;
x = linspace(0,2,50);
F=0;
bn = @(n) (2/pi)*(((-1)^(n+1))/n);
for n = 1:N
F = F + bn(n)*sin(n*pi*x);
end
plot(x,F)
