Limits

04192017, 08:05 PM
Post: #1




Limits
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/(x3) as x approaches 3+ and I get ∞. As x approached 3, I get ∞. But as x approaches 3 (not onesided limit), I get +∞... I would like it to show there is no limit since onesided limits are differents. Other example: Limit of SQ(x2) as x approaches 2 It gives me 0, when I would like to see that there is no real number. Thanks in advance. 

04222017, 11:55 AM
Post: #2




RE: Limits
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(x2) 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 rightsided limit. But it depends on the context, there is a general case where the domain is C. Best, Aries ;) 

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