Determine |
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Step 1: Draw a “wall” at the () you are heading towards.
In this example we will draw the “wall” at because that is the we are heading towards. |
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Step 2: Determine what type of limit you are being asked to evaluate. LHL (), RHL (), or Overall .
In this example we have a negative sign () in the exponent of our . So, we are being asked to find the Left-Hand Limit. |
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Step 3 ( LHL ): Begin drawing along your graph, , starting on the left side of the graph and moving to the right until you run into the “wall” you drew in Step 1 .
Notice that you do not care about any jumps in the graph as you do this. It is all one graph, . So, jump from one piece to the next and continue to follow the graph until you run into the “wall”.
The where you run into the wall is the answer to the question.
In this example we run into the “wall” at . So, the answer to our limit question is . |
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Final Result:
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