Incorrect limit with ratio of complex exponentials

[oscarbenjamin]

From SO:
https://stackoverflow.com/questions/68406242/managing-cases-of-an-expression-containing-positive-integers?noredirect=1#comment120914902_68406242

These limits all give 0 but the correct value is 5:

In [1]: term = (1 - exp(-2*I*pi*z))/(1 - exp(-2*I*pi*z/5))

In [2]: term
Out[2]: 
     -2⋅ⅈ⋅π⋅z 
1 - ℯ         
──────────────
     -2⋅ⅈ⋅π⋅z 
     ─────────
         5    
1 - ℯ         

In [3]: term.limit(z, 0)
Out[3]: 0

In [4]: term.subs(z, 1e-6).n()
Out[4]: 4.99999999997631 - 1.25663706143261e-5⋅ⅈ

In [5]: re(term).limit(z, 0)
Out[5]: 0

In [6]: abs(term).limit(z, 0)
Out[6]: 0

[0sidharth]

I forgot to add it to the description, but #21775 closes this issue, a test has also been added.