Proof of Limit

  • Thread starter KF33
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  • #1
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Homework Statement


I have been working on the problem below and I am stuck. I am stuck primarily because of the part where is says x=0. If x-0, it should cancel everything out. The derivative of 0 is 0 so will cancel everything out I think, so I am not sure if that is the reasoning and the proof behind it.

Homework Equations




The Attempt at a Solution


I thought I should start this way, but I am not 100% sure.[/B]
upload_2016-6-26_20-51-50.png
 

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Answers and Replies

  • #2
SammyS
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Homework Statement


I have been working on the problem below and I am stuck. I am stuck primarily because of the part where is says x=0. If x-0, it should cancel everything out. The derivative of 0 is 0 so will cancel everything out I think, so I am not sure if that is the reasoning and the proof behind it.

Homework Equations



The Attempt at a Solution


I thought I should start this way, but I am not 100% sure.[/B]
View attachment 102534
It's a good idea to have the problem statement visible in the OP.

cap-2-png.102533.png
 
  • #3
James R
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L'Hopital's rule?
 
  • #4
micromass
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L'Hopital's rule?

Not necessary with the hint in the OP, the definition of a derivative is enough.
 

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