Question

Question #8e18b

Answer 1

See below.

Explanation:

`f(x)=sin(x^2)/x^2`

#for sin(x) maximum value is 1

#for sin(x) minimum value is -1

as `x-> oo` `color(white)(88)sin(x^2)/x^2->0`

as `x-> -oo` `color(white)(88)sin(x^2)/x^2->0`

So:

`color(blue)(y = 0)` is a horizontal asymptote.

Graph:

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