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� (Video) http://www.calculus-help.com/tutorials
� What is a limit? � A limit is the intended height of a function
� Is it possible for limits NOT to exist? � yes � Are there different ways to find a limit? � Yes
� Let’s discuss some of the notation that comes up with limits, the proper way to write, and verbally pronounce.
� (a) The limit of the function �
�as x approaches 0.
� (b) The limit of the function �
�as x approaches 0
from the left side.
� (c) The limit of the function �� � 1 as xapproaches 2 from the right side.
� A function f (x) has a limit as x approaches c if and only if the right-hand and left hand limits at c exist and are equal.
� Symbolically,
� As you can see, from the table, the intended height is: infinity (and at this time we will say since you cannot give a definitive number, infinity will be does not exist (DNE)).
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