Limit, as x tends to 0

  • Thread starter kmeado07
  • Start date
  • #1
40
0

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
Science Advisor
Homework Helper
26,263
619
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
365
0
Do you know that:
[tex]\lim_{x \rightarrow 0}\frac{sinx}{x}=1[/tex]

?
 
  • #4
HallsofIvy
Science Advisor
Homework Helper
41,847
966
[tex]\frac{sin(x)}{x^2}= \left(\frac{sin(x)}{x}\right)\left(\frac{1}{x}\right)[/tex]
 

Related Threads on Limit, as x tends to 0

  • Last Post
Replies
13
Views
2K
  • Last Post
Replies
2
Views
823
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
7
Views
8K
Replies
19
Views
2K
Replies
3
Views
565
  • Last Post
Replies
14
Views
2K
Replies
1
Views
4K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
7
Views
701
Top