Steve204,Thank you for your answer regarding infinite limits.Please allow me to dig deeper so that I can have a better understanding:

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by JDavid at May 29, 2011

Is it true that a function can have a limit in general even though the function is discontinuous at x = a? So, in your answer is infinite discontinuity grounds enough to say that the limit does not exist?
When I study a textbook that states that the one-sided limit of a function is infinity, then if limits are restricted to real numbers, why can it be said that the limit is infinity (as we know that infinity is not a real number)? Why would we give limit, one sided or otherwise, the answer of infinity; which, in and of itself is saying that the limit exists and it is called infinity.
I know that I am being picky, but there seems to be a contradiction.
I know that your answer is correct, I am just trying to completely understand the terminology. Thank you.