Limits

[Aries]

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 ;-)