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Homework Help: LIMIT of a HYPERBOLIC!

  1. Mar 5, 2010 #1
    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.
     
  2. jcsd
  3. Mar 5, 2010 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Welcome to PF!

    Hi ccha ! Welcome to PF! :smile:

    (try using the X2 tag just above the Reply box :wink:)
    Now divide top and bottom by e2x

    what do you get? :smile:
     
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