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!

Nice limit

  1. Oct 30, 2005 #1
    Hi all,

    could you help me how to solve this limit?

    [tex]
    \lim_{x \rightarrow \infty} \left( 1 + 10^{-x}\right)^\left(10^x\right)
    [/tex]

    Common adjustments for log involving the limit log (1)/0 don't work and no other idea comes to my mind...

    Thank you for any help.
     
  2. jcsd
  3. Oct 30, 2005 #2

    VietDao29

    User Avatar
    Homework Helper

    Hmm,...
    Look at the problem again, it looks incredibly like:
    [tex]\lim_{x \rightarrow \infty} \left( 1 + \frac{1}{x} \right) ^ x = e[/tex]
    Can you go from here?
    Viet Dao,
     
  4. Oct 30, 2005 #3
    Yep, you're right, can't believe I didn't see it :) Thanks.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Nice limit
  1. Limits - (Replies: 3)

  2. A limit (Replies: 4)

  3. A limit (Replies: 9)

  4. Limit :| (Replies: 13)

Loading...