1. Not finding help here? Sign up for a free 30min 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!

What's 1^infinity?

  1. Nov 10, 2013 #1
    1. The problem statement, all variables and given/known data
    What's 1^infinity?


    2. Relevant equations
    I think the answer is 1 because 1 to the power of anything equals 1, am I right? What's the answer to this?


    3. The attempt at a solution
     
  2. jcsd
  3. Nov 10, 2013 #2

    phinds

    User Avatar
    Gold Member
    2016 Award

    Yes, you are right, although I don't think it's a particularly meaningful question because it treats infinity as a number which is often not really appropriate.
     
  4. Nov 10, 2013 #3
    You can prove it equals 1 through calculus, but it is actually undefined because infinity isn't a real number.
     
  5. Nov 10, 2013 #4

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    That notation is usually shorthand for a limit a^b where a approaches 1 and b approaches infinity. If a is exactly 1, then yes, the limit is 1. Otherwise it's indeterminant (it could be anything) and the limit depends on the exact behavior of a and b.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted