More help with functions...

Mathematics
Tutor: None Selected Time limit: 1 Day

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

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
May 12th, 2015
...
May 12th, 2015
May 29th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer