More help with functions...

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We were told to graph lim f(x) as x approaches 4 which exists but is not equal to f(4). 

Could someone explain how to graph this? The answer key shows an open dot going down at (4,4ish?) and then a closed dot above it. 

May 12th, 2015

Open dot anywhere in a graph shows that the value of function at that point is not continuous or equal to limits.

As shown in this example, as x approaches 0 the limits approach 5 but f(0) is 7.

In your case it represents that the value of f(4) is not equal to the limits (approaching from both left and right side) and is slightly larger (represented by the closed dot)

In other words,   the limit exists but its value is not equal to function value 

May 12th, 2015

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May 12th, 2015
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May 12th, 2015
Sep 25th, 2017
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