How do i graph limits?

Question

Scarlett Allison · Accepted Answer

If your function approaches infinity or negative infinity as x approaches your limit you can represent the limit with a line or dashed line:

#f(x)=1/x#

#limx->0+ = oo#
#limx->0- = -oo#

If your function does not trail off into infinity or negative infinite as x approaches your function you can represent the limit with an empty circle:

#f(x) = (x - 1)/(x-1)#

#limx->1=#undefined

Axel Alvarez · Answer

undefined To graph limits, follow these steps:

1. Determine the function for which you want to find the limit.
2. Identify the value of x that the limit is approaching.
3. Evaluate the function as x approaches the given value from both the left and right sides.
4. Plot the points on a graph, indicating the y-values obtained from the evaluations.
5. Connect the points with a dashed line if the limit does not exist or a solid line if it does.
6. Label the graph with the function's name and any relevant information.

Remember that graphing limits helps visualize the behavior of a function as x approaches a specific value, but it does not provide the actual value of the limit.