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Homework Help: Finding a limit when assigned restrictions to f(x)

  1. Oct 6, 2012 #1
    1. The problem statement, all variables and given/known data
    Suppose 0 ≤ f(x) ≥ 1 for all x, find lim x→0 x^4f(x)

    2. Relevant equations

    3. The attempt at a solution
    I'm very uncertain about how to go about doing this.
    lim x→0 x^4 f(x) = 0^4 (0)
    = 0
    lim x→0 x^4 f(x) = 1^4 (1)
    How does that prove anything?
  2. jcsd
  3. Oct 6, 2012 #2


    Staff: Mentor

    Don't you mean 0 ≤ f(x) ≤ 1?

    Have you learned the "squeeze" theorem?
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