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: 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
    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.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook