# How do you graph #y=(sinx)/x#?

##### 1 Answer

We know that the limit in 0 is 1

(it's one of the notables limits: in a neighbourhood of 0

We know it is an even function (quotient of two odd functions), so the graph must be symmetric.

We concentrate on

We know it has zeros where

Then we know that

For the same reason in

So you draws the four branches of hyperboles and consider the incidence in the points, consider the zeros, consider than in 0 is 1 and consider the symmetry.

graph{1/x [-10, 10, -5, 5]}

graph{-1/x [-10, 10, -5, 5]}

graph{sinx/x [-10, 10, -5, 5]}