|
||
Step 1: Try Option 1: Plug it in Always try plugging in the you are heading towards. In this example we get division by zero, which means Option 1 has failed. |
|
|
Step 2: Split the equation into its two equations. A left-hand limit and a right-hand limit. |
|
|
LHL: Drop the absolute value bars and replace them with a
|
RHL: Drop the absolute value bars
|
|
Step 3: Determine the overall limit by finding your left-hand limit and right-hand limit using the equations you created in Step 2.
To solve both the LHL and the RHL we will use two previous limit options. First, we will use Option 2: Factor and Cancel, and then back to Option 1: Plug it in. |
|
|
|
||
Final Result:
Meaning: The overall limit as approaches of Does Not Exist.
|