I am stuck on these problems, taking the limit at x = 2.
Any help is greatly appreciated, including general advice about working these kinds of problems. What do you do when you can't "see" how to rationalize an equation?
I'm sorry, i'm at the very beginning of the course and they have not introduced the concept of the derivative yet. (I think that is in the next lesson.) I'm supposed to find the limit (if there is one) by using fractional reduction or by rationalizing the expression (or show that it can't be done).
Ok, my somewhat indifferent math education may be catching up with me. I think I understand what you did, but I am still stuck on the next problems.
I get that I may need to use
but not how to get there. I have been working (unsuccessfully, obviously) at these all evening and may just be burned out, but I think I am missing something. Thanks for helping me in my hour of stupidity.
Ok, thanks for all of the help. But unfortunately, I am just getting more and more confused. I have not learned the derivative yet, which I realize must make this more difficult. Is there a way to get
into the form
without using anything other than basic (precaluculus level) math? Like I said, I am at the very beginning of the course and don't know the definition of the derivative or l'Hôpital's rule. We're talking "calculus for dummies" level here -- apparently I have lost a few brain cells since the last math course I took .