Limit, as x tends to 0

  • Thread starter kmeado07
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  • #1
kmeado07
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Homework Statement



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

Homework Equations



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

The Attempt at a Solution



Well i sinx would tend to zero and so would x^2, so would the limit just be zero?
 

Answers and Replies

  • #2
Dick
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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?
 
  • #3
Дьявол
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Do you know that:
[tex]\lim_{x \rightarrow 0}\frac{sinx}{x}=1[/tex]

?
 
  • #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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