# Limit, as x tends to 0

1. Jan 12, 2009

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. Jan 12, 2009

### Dick

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. Jan 12, 2009

### Дьявол

Do you know that:
$$\lim_{x \rightarrow 0}\frac{sinx}{x}=1$$

?

4. Jan 12, 2009

### HallsofIvy

Staff Emeritus
$$\frac{sin(x)}{x^2}= \left(\frac{sin(x)}{x}\right)\left(\frac{1}{x}\right)$$