MTH 151 Lecture Notes - Lecture 4: The The

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Altogether, the limits are the same so: , which is type 0/0 or indeterminate and need to do more work. The limit dne, does not exist because the left and right limits are not the same. It is important to first decide if the original is indeterminate or not to consider what the next step should be. If a polynomial, then plug in the number x approaches to find the limit. If a rational function, find the limit looking at both left and right limits and seeing if they are equal. If equal, that is the limit but if not equal, then the limit does not exist, dne.

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