How can I plot an exponential Fourier series? [closed]

Question

Iam triying to plot summatory of the next function:

(e^(i*n*t*wo)*Sin[n*Pi/2])/(n*pi)

I have no problem plotting a trigonometric fourier serie, so the only problem is plotting the complex i. I have watched several videos where they use an uppercase I instead of an lowercase i, I have already tried that but with no results. The functions that I use are:

s[i_,t_] := 1/2 + Sum[(e^(i*n*t*wo)*Sin[n*Pi/2])/(n*pi),{n,-i,-1}] + Sum[(e^(i*n*t*wo)*Sin[n*Pi/2])/(n*pi),{n,1,i}] 

Plot[s[10],{t,-10,10}]

First I made a declaration of a function where the summatories are declared, the i in the Plot[] function is the number of iterations.

I offer an apologize my english is not the best one and I dont know how to make the ecuation look pretty. Anyway thanks a lot.

Answer 1

This might be what you are after:

s[i_, t_] := 1/2 + Sum[(E^(I*n*t*wo)*Sin[n*Pi/2])/(n*Pi), {n, -i, -1}] + 
                   Sum[(E^(I*n*t*wo)*Sin[n*Pi/2])/(n*Pi), {n, 1, i}];
wo = 1; 
Plot[s[5, t], {t, -10, 10}]