# Limit, as x tends to 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?

Dick
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?

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

?

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