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LIMIT of a HYPERBOLIC!

  • Thread starter ccha
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  • #1
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Homework Statement



Find the limit of e^(2x) / sinh(2x), as x approachs infinity.


Homework Equations





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.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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Welcome to PF!

Hi ccha ! Welcome to PF! :smile:

(try using the X2 tag just above the Reply box :wink:)
… Changed equation to e^(2x) / [(e^(2x) - e^(-2x)) / 2]. Based of the sinh identity.
Now divide top and bottom by e2x

what do you get? :smile:
 

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