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Calculus Examples
Step 1
Step 1.1
Move the limit inside the absolute value signs.
Step 1.2
Split the limit using the Sum of Limits Rule on the limit as approaches .
Step 1.3
Evaluate the limit of which is constant as approaches .
Step 2
Evaluate the limit of by plugging in for .
Step 3
Step 3.1
Simplify the numerator.
Step 3.1.1
Add and .
Step 3.1.2
The absolute value is the distance between a number and zero. The distance between and is .
Step 3.2
Divide by .