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Homework Help: Limit, as x tends to 0

  1. Jan 12, 2009 #1
    1. The problem statement, all variables and given/known data

    Does f(x) tend to a limit as x tends to 0?

    2. Relevant equations

    f(x)=[sinx]/[x^2]

    3. The attempt at a solution

    Well i sinx would tend to zero and so would x^2, so would the limit just be zero?
     
  2. jcsd
  3. Jan 12, 2009 #2

    Dick

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    Homework Helper

    No, 0/0 is an indeterminant form. It means you have to work harder. Do you know the limit of sin(x)/x? Do you know l'Hopital's rule?
     
  4. Jan 12, 2009 #3
    Do you know that:
    [tex]\lim_{x \rightarrow 0}\frac{sinx}{x}=1[/tex]

    ?
     
  5. Jan 12, 2009 #4

    HallsofIvy

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    [tex]\frac{sin(x)}{x^2}= \left(\frac{sin(x)}{x}\right)\left(\frac{1}{x}\right)[/tex]
     
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