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Solving a limit with L'H's rule

  • Thread starter Turion
  • Start date
  • #1
143
2

Homework Statement



OErDOT2.png


Homework Equations





The Attempt at a Solution



YG1M1Fh.png


Are you allowed to do that where you just apply L'H an infinite amount of times?
 

Answers and Replies

  • #2
33,486
5,174

Homework Statement



OErDOT2.png


Homework Equations





The Attempt at a Solution



YG1M1Fh.png
After taking the derivative of the denominator, you should get et, not eα. I suspect that was a typo.

Anyway, your limit is correct. The basic idea is that power functions, such as tα grow large, but exponential functions grow large faster.
 

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