Evaluate this limit

  • #1

Main Question or Discussion Point

Hello,

How would someone evaluate this limit?? :confused:
http://img407.imageshack.us/img407/9899/14403274.gif [Broken]

I can't get rid of the infinite/infinite problem using l'hospital rule :confused:

thank you
 
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Answers and Replies

  • #2
1,013
65
Rewrite the fraction using the same base for each power so that you can express it as Af(x). Ie., Euler's number e makes a useful base.
 
  • #3
you mean like that? http://img242.imageshack.us/img242/8780/58121121.gif [Broken]
or like that ? http://img172.imageshack.us/img172/9394/47770366.gif [Broken]
sorry I don't really know how :confused:
 
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  • #4
1,013
65
Pi is ea for some number a while 4 is eb for some number b. In particular, those numbers are ln(pi) and ln(4). We then have eax - bx = e(a-b)x.
 

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