3 Questions (Limits)
Here are three questions which I'm trying to solve. The first one I solved but was hoping someone could verify because I'm not sure that the solution is right. The 3rd one I need help on because I can't factor out or cancel anything. http://img126.imageshack.us/img126/2...answersyt0.png
Link to image: http://img126.imageshack.us/img126/2...answersyt0.png The first 1 you can substitute.
The third one you get (SOMETHING)/0 where SOMETHING
not = zero. Thus it is + infinity.
The second one you get 0/0 which is bad.
Now you can cancel (x-2) to get,
x^2-x-2 and take limit as x -- > 0 for #3 the limit does not exist. ( it is not +\infty) So you can substitute in the first one and say that it approaches 0 when you substitute it gives 0/3 which equals 0?
And I still don't understand the 3rd one. Is there a way to actually show if it's approaching + or - infinity? Look at the left and right hand limits.
Originally Posted by
(graph it or look at numerical values if you want)
comming from the right the limit + infinity
comming from the left the limit is - infinity
therefore the limit doesn't exist.