#### To determine

**To Evaluate:** the limit limx→3x−3x2−9

#### Answer

The value of the following limit is given by limx→3x−3x2−9=16

#### Explanation

The following limit can be simplified by factoring x2−9 and cancelling out x−3 term from numerator and denominator.

** ** limx→3x−3x2−9=limx→3x−3(x−3)(x+3)=limx→31x+3=13+3=16

**Conclusion:** limx→3x−3x2−9=16