By inspection,we see that as we approachthe value from the left, we do so alongwhatappearsto
be a portionof the horizontalline We see that as we approachthe value from the right,we
do so alonga line segmenthavingpositiveslope.In eithercase,the valuesof approaches
NonexistentLimits
We sometimeshavefunctionswhere doesnot exist.We havealreadyseenan exampleof a
functionwhereour a valuewas not in the domainof the function.In particular, the functionwas not defined
for but we couldstill find the limit as
Whatdo you thinkthe limit will be as we let
Our inspectionof the graphsuggeststhat the functionaround doesnot appearto approacha partic-
ular value.For the pointsall lie in the first quadrantand appearto growvery quicklyto largepositive