Determine limx→2x2+2x−24x−2.

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Lesson Parent: 
Function Limits V: Properties of Function Limits
Problem: 

Determine
limx→2x2+2x−24x−2.

Answer: 

The limit does not exist.

SAMPLE SOLUTION

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Solution: 

Usually when <Sign in to see all the formulas> and <Sign in to see all the formulas> the limit <Sign in to see all the formulas> does not exist. However, if we can find an x−2 in the numerator to cancel the x−2 in the denominator then the function limit might exist.

We know that

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Unfortunately, there is no x−2 in the numerator so this function limit does not exist.