1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Limit problem

  1. Feb 15, 2005 #1


    User Avatar

    Hello, I have two questions concerning limits

    1) lim x-> 0+ x^(sinx)
    2) lim x-> +inf. (9^x)/(8^x)

    The first one gives me 1 (e^0 = 1) .. is that correct?
    The 2nd one I dont know how to do. Can someone please explain the 2nd one for me?
    Thanks a lot
  2. jcsd
  3. Feb 16, 2005 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    1) Correct

    2) (9^x)/(8^x) = (9/8)^x and 9/8 > 1. How does a^x behave if a<1, a=1, a>1 ?
  4. Feb 16, 2005 #3


    User Avatar

    I knew it was that simple!! Thanks for the help :)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook