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How to find horizontal asymptotes?

  1. Nov 22, 2012 #1
    1. The problem statement, all variables and given/known data

    f(x)=(8-4x)e^x

    2. Relevant equations



    3. The attempt at a solution

    I know you can usually compare the top and bottom and determine that way but how can you do it when it's like this? I know the answer is 0 already i dont know how to get it though
     
  2. jcsd
  3. Nov 22, 2012 #2
    Do you see how you might be able to re-write this and then use L'Hospital's Rule?

    Edit:
    Just as a side note, I hope you realise that there is no horizontal asymptote as x goes to positive infinity.
     
  4. Nov 22, 2012 #3
    ah i think i got it.

    do you end up with -4/(-1/e^(-x)) which basically is equal to -4/-infinity = 4/infinity = 0?
     
  5. Nov 22, 2012 #4
    Yes, but just to say it again, it is not as x goes to positive infinity.
     
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