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: Help with Limit Question

  1. Apr 3, 2014 #1
    1. The problem statement, all variables and given/known data

    Lim (3^x+4^x)/(7^x) x -> ∞

    2. Relevant equations

    3. The attempt at a solution

    I broke the limit up into two parts:

    Lim (3^x)/(7^x) x -> ∞ + Lim (4^x)/(7^x) x -> ∞

    However, I don't know where to go from here.
  2. jcsd
  3. Apr 3, 2014 #2


    User Avatar
    Homework Helper

    Note that ##\frac{3^x}{7^x} = (\frac{3}{7})^x##.

    What's the limit of ##a^x## where ##0 < a < 1## as x goes to infinity?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted