Engineering Board Exam Reviewer · Special Limits and Indeterminate Forms · medium

Evaluate x 0+x x.

1. -1
2. -∞
3. 1
4. 0

Answer

D. 0

Solution

Write x x= x/1/x, which is -∞/∞. By L'Hôpital's rule: 1/x/-1/x2= (-x)=0.

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