So I'm doing a little self-study in Kirkwood's Introduction to Analysis, and I need some clarification on something. Exercise 8 (a) in chapter 5-1 is this:
Suppose for some constant and . Show that f is continuous.
This doesn't make any sense if , since makes complex. However, the problem never states . I don't think that's implied either, since it looks like the result can be proven if we revise it to say .
I don't need, nor do I want help with the proof, only in clarifying this apparent typo. Thoughts?