Question

How do you find the limit of `(sin( x - 2)) / (x^2 - 4)` as x approaches 0?

Answer 1

`sin(2)/4`

Explanation:

Let's plug in the value `x=0`

`lim_(x->0)sin(0-2)/(0-4)`

`=sin(-2)/(-4)= sin(2)/4`

`"or" ~~0 .2273243567`

graph{sin(x-2)/(x^2-4) [-10, 10, -5, 5]}