So I'm doing a little self-study in Kirkwood'sIntroduction 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?