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

Evaluate x 0+xx.

1. 0
2. e
3. 1
4. The limit does not exist

Answer

C. 1

Solution

Let y=xx, so y=x x. As x 0+, x x 0 (see x/1/x and L'Hôpital). Hence y e0=1.

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