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Help me to verify the piecewise function answers

  1. Jun 13, 2007 #1
    I am trying to solve the exercise in this link, please let me know if i am doing something wrong. ( i didn't find answers to this exercise thats why i am sending it here)

    http://www.libraryofmath.com/limits-with-piecewise-functions.html


    exercise 1
    ----------
    a) lim x->3- f(x) = 7
    b) lim x->3+ f(x) = 7
    c) lim x->3 f(x) = 7 because both one-sided limits are same.

    exercise 2
    ----------
    a) lim x->0- f(x) = 2
    b) lim x->0+ f(x) = 1
    c) lim x->0 f(x) = no limit (because one-sided limits are not same)
    d) lim x->2- f(x) = 1
    e) lim x->2+ f(x) = 3
    f) lim x->2 f(x) = no limit (because one-sided limits are not same)

    exercise 3
    ----------
    a) lim x->-1- f(x) = 1
    b) lim x->-1+ f(x) = 1
    c) lim x->-1 f(x) = 1
    d) lim x->0- f(x) = 0
    e) lim x->0+ f(x) = 0
    f) lim x->0 f(x) = 0
    g) lim x->1- f(x) = 1
    h) lim x->1+ f(x) = 1
    i) lim x->1 f(x) = 1

    Thanks for your time.
     
  2. jcsd
  3. Jun 14, 2007 #2

    VietDao29

    User Avatar
    Homework Helper

    Yes, looks good to me. Congratulations. :wink:

    Btw, you haven't done the last 2 problems. :)
     
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