How do I show that x^x->1 as x->0?

  • #1
How do I show that x^x->1 as x->0?
 

Answers and Replies

  • #2
shmoe
Science Advisor
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Try using log's to convert the exponentiation into a product.
 
  • #3
I can't find a lower bound for xlog(x).
 
  • #4
217
0
use l'hopital's rule.

if you have lim x log x then x log x is the same as [log x / (1 / x)]
 
  • #6
shmoe
Science Advisor
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You can also change it to what may be a more familiar limit by setting x=1/y.
 

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