1. Mar 5, 2010 #1

   ccha

   

   1. The problem statement, all variables and given/known data
   
   Find the limit of e^(2x) / sinh(2x), as x approachs infinity.
   
   
   2. Relevant equations
   
   
   
   3. The attempt at a solution
   
   Changed equation to e^(2x) / [(e^(2x) - e^(-2x)) / 2]. Based of the sinh identity.
   
   found limit of e^(2x) = ∞ .... e^(-2x) = 0 .... 2 = 2 .....
   
   New equation ( ∞ ) / [( ∞ - 0 ) / 2]
   
   ...
   
   I am unsure how to continue after this.

    

   ccha, Mar 5, 2010
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3. Mar 5, 2010 #2

   tiny-tim

   

   Science Advisor

   Homework Helper

   Welcome to PF!
   
   Hi ccha ! Welcome to PF!
   
   (try using the X² tag just above the Reply box )
   

   Now divide top and bottom by e^2x …
   
   

   what do you get? ​

    

   tiny-tim, Mar 5, 2010

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