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From: agapito6314 on 4 Feb 2010 10:21
What are the conventions regarding "extended values" for complex
numbers. For example, if z(x) = tan x + i * cos x, What can be said
of lim x --> pi/2+ of z(x)? Many thanks.
From: TCL on 4 Feb 2010 13:37
On Feb 4, 10:21 am, agapito6...(a)aol.com wrote:
> What are the conventions regarding "extended values" for complex
> numbers. For example, if z(x) = tan x + i * cos x, What can be said
> of   lim x --> pi/2+  of z(x)?  Many thanks.

infiniity. i.e. for any r>0, there exists a neighborhood N of pi/2
such that |z(x)|>r for all
x in N.
From: agapito6314 on 4 Feb 2010 14:15
On Feb 4, 12:37 pm, TCL <tl...(a)cox.net> wrote:
> On Feb 4, 10:21 am, agapito6...(a)aol.com wrote:
>
> > What are the conventions regarding "extended values" for complex
> > numbers. For example, if z(x) = tan x + i * cos x, What can be said
> > of   lim x --> pi/2+  of z(x)?  Many thanks.
>
> infiniity. i.e. for any r>0, there exists a neighborhood N of pi/2
> such that |z(x)|>r for all
> x in N.

OK thanks for your help.
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