Hi guys,

I'm working on a complex analysis problem which states that I have

"a sequence {an} of distinct points in some region G such that an --> a in G as n --> infinity"

(then I'll need to do something with the sequences)

First question: Is{an}an infinite sequence? (In general, when I see this notation in analysis should I always assume an infinite sequence?)

I'm going to assume that it is an infinite sequence, then, I have a function represented by, lets say,f(an) = cos(an)

Since all sequences converge to the point a, is it true thatf(an) = f(a) = cos(a)?

Do I have a constant function? That's what it looks like to me.

Thanks!