How can I plot a function in R with complex numbers?

Question

I want to plot the following function in R

f(w) = 1/(1-5*e^(-iw))

where i is the square root of -1. Can R handle complex numbers in plotting?

Answer 1

This should get you started (mostly by demonstrating the notation R uses for representing complex numbers and the exponential function).

f <- function(x) 1/(1-5*exp(-(0+1i)*x))
x <- seq(0, 2*pi, by=0.1)
plot(f(x))