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

Evaluate x ∞x2e-x.

1. 1
2. ∞
3. 0
4. 2

Answer

C. 0

Solution

Write x2e-x=x2/ex, which is ∞∞. Applying L'Hôpital's rule twice: 2x/ex 2/ex 0.

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