Limits - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: HP Calculators (and very old HP Computers) (/forum-3.html) +--- Forum: HP Prime (/forum-5.html) +--- Thread: Limits (/thread-8208.html)

Limits - Lessa - 04-19-2017 08:05 PM Hi! I have a question that may be simple for you experts... How to make HP Prime show that a given limit does not exist? For example, I tried limit of x/(x-3) as x approaches 3+ and I get ∞. As x approached 3-, I get -∞. But as x approaches 3 (not one-sided limit), I get +-∞... I would like it to show there is no limit since one-sided limits are differents. Other example: Limit of SQ(x-2) as x approaches 2- It gives me 0, when I would like to see that there is no real number. Thanks in advance. RE: Limits - Aries - 04-22-2017 11:55 AM Hi Lessa, in your first example I guess +-inf means the function is not defined for x-->3 (bilateral), though the Nspire CAS is more "explanatory" in this case: In the second example the domain (real) of sqrt(x-2) is [2,+inf) so you cannot take the limit "outside" that domain, there's no left "neighborhood" of 2 in the definition domain and you can only talk about the right-sided limit. But it depends on the context, there is a general case where the domain is C. Best, Aries ;-)