Question

Question #90697

Answer 1

It doesn't "cross" the y-axis at one, but it gets infinitely close to the point (0,1).

Explanation:

As you know, dividing by 0 is undefined by mathematics, however we can try to get as close to dividing by 0 by making `x` as close to 0 as possible, i.e `x = 0.0000000...01`

This is called taking taking a limit, and its notation looks like this:
`lim` `sin(x)/x`
`x->0`

As `x` gets smaller, eventually `sin(x)` comes close to becoming `x` resulting in

`lim` `sin(x)/x = x/x = 1`
`x->0`

There is a way of proving the above, so if anyone could add or correct my answer, please do.