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Find a pair of functions such that the following are true

  1. Jan 28, 2013 #1
    1. The problem statement, all variables and given/known data

    Find a pair of functions f(x), g(x) such that the following are true

    lim x->3+ f(x) = +∞
    lim x->3+ g(x) = +∞
    lim x->3+ (f(x)-g(x)) ≠0
    2. Relevant equations

    none

    3. The attempt at a solution
    f(x) = x/x-3
    g(x) 3/x-3
    ?
     
  2. jcsd
  3. Jan 28, 2013 #2

    SammyS

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    Correct use of parentheses is important .

    Well, what is lim x→3+ (f(x)-g(x)) for those functions?
     
  4. Jan 28, 2013 #3
    Lim x->3+ (x-3)/(x-3) = 1? ≠0
     
  5. Jan 28, 2013 #4

    SammyS

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    Therefore, your choices for f(x) and g(x) look good !
     
  6. Jan 28, 2013 #5
    Thanks!
     
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