Question
Asked Nov 12, 2019
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Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable.
12x
lim x
x-0
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Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 12x lim x x-0

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Expert Answer

Step 1

Given that

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12x x-0

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Step 2

Evaluate the given limit

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From exponent rule a* a e*na Then lim x12 =lmen(x2n) x-0 12x lim e x0 2x In x x 0*

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Step 3

move the limit under ex...

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lim 12xInx lim e12xInx = e* ex- 12 lim xlnx x+0 lim 12xnx e nx 12 lim 0 e

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Tagged in

Math

Calculus

Limits

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