Hi,

I have a little question. It is fact that:

$\displaystyle \lim_{x \rightarrow 0} \frac{sin x}{x} = 1$

But when I have a limit:

$\displaystyle \lim_{x \rightarrow 0} \frac{x}{x}$

it is considered an"indeterminate expression", because it is equal to: $\displaystyle \frac{0}{0}$

but I think that: $\displaystyle \lim_{x \rightarrow 0} \frac{sin x}{x} = \frac{0}{0}$ and it would be also an indeterminate expression.

So can anybody explain me why "is the first expession = 1"?

Thanks.