#### To determine

**To Evaluate:** the limit limx→−2x3+8x+2

#### Answer

The value of the following limit is given by limx→−2x3+8x+2=12

#### Explanation

The given limit can be simplified by factoring the numerator x3+8 and cancelling out the term (x+2) from numerator and denominator, we get

** ** limx→−2x3+8x+2=limx→−2(x+2)(x2−2x+4)(x+2)=limx→−2(x2−2x+4)=4−2(−2)+4=12

**Conclusion** limx→−2x3+8x+2=12