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Show that each of the following limits is of the form 00and then use L’Hopital’s rule to calculate the limit: ˆ

limx1x-321-ex-3

Short Answer

Expert verified

The solution is -2

Step by step solution

01

Step 1. Given information

The given limit islimx1x-321-ex-3

02

Step 2. Calculate limit

limx3x-321-ex-3limx3dx-32dxd1-ex-3dx=limx32x-3-x-3ex-3=2-ex-3=2-1=-2

03

Step 3. The solution

The solution is -2

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