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.