Re: limit of a limit



On Tue, 13 Dec 2005 gaya.patel@xxxxxxxxx wrote:

> Is
>
> lim ( lim f(a, c) ) equal to
> a ->b c->d
>
> lim ( lim f(a, c) )
> c->d a->b
>
> ?
>
> In other words, it the limit operation commutative?
>
Yes, when f is continuous.
Otherwise, don't expect it.
.