Looking at a question I have recently found, I am completely stumped. I need to prove that the function $f(z) = Re(z)$ is continuous where $f:\mathbb{C}\rightarrow\mathbb{C}$ using sequences.
I have no clue where to start, can someone help?
Much appreciated.
$|\text{Re}(z)-\text{Re}(w)|\leq|z-w|$, this is a crucial step.