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!

AP Calculus: Limits

  1. Feb 18, 2005 #1
    Here's a limit question which I can't seem to figure out how to do, if someone can explain how to do this one question, I'd greatly appreciate it, as I barely understand this:

    In Excercise 9, a positive number E and the limit L of a function f at a are given. Find a number DELTA such that |f(x) -L| < E if 0 < |x-a| < DELTA

    Excercise 9:
    [tex]\lim_{x \rightarrow 4} 2x = 8; E = 0.1[/tex]

    Thanks.
     
  2. jcsd
  3. Feb 18, 2005 #2

    Galileo

    User Avatar
    Science Advisor
    Homework Helper

    Write down what you know and what you need to prove:

    Find a [itex]\delta>0[/itex], such that:
    [tex]|2x-8|<0.1[/tex] whenever [tex]|x-4|<\delta[/tex]

    That's almost always the first step. Simply write it down. The answer may already be obvious from the above expression.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: AP Calculus: Limits
  1. AP Calculus (Replies: 7)

Loading...