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Let's take a look at one more example to ensure that we've got all the ideas about limits down that we've looked at in the last couple of sections.
Example: Given the below graph,
calculate each of the following.
(a) f (-4)
(b)
(c)
Solution
(a) f (-4) doesn't exist. There is not any closed dot for this value of x and therefore the function doesn't exist at this.
(b) The function is approaching value of 2 as x moves towards -4 from the left
(c) The function is approaching value of 2 as x moves towards -4 from the right.
Product and Quotient Rule : Firstly let's see why we have to be careful with products & quotients. Assume that we have the two functions f ( x ) = x 3 and g ( x ) = x 6 .
x=+y^2=4
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z+31=73 for z=42
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