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!

Calculus, Delta- Epsilon Proof Of Limits

  1. Feb 17, 2008 #1
    1. The problem statement, all variables and given/known data
    Is this the right direction to prove

    Given that , prove that . Using the delta epsilon definition to prove that means that, for any arbitrary small there exists a where as:




    If we choose any constant for (x) called C, as long as C does not equal zero, the equation follows:



    whenever , since f(x) as x goes to a is equal to L.

    Multiply the by the absolute vale of the constant C, , so you have



    Now the product of absolute values is equal to the absolute value of the products so,




    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Feb 17, 2008 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    There appear to be whole sections of your post missing!
     
  4. Feb 18, 2008 #3
    calculations in attachment

    I apologize but the attatchment has the work in it.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Calculus, Delta- Epsilon Proof Of Limits
Loading...