How to round in this situation

[realism877]

I'm finding epsilon.

This is the precise definition of a limit.

Y=1,y=4+x-3(x)3(3 is to the third power), and y=3

When I find where they intersect, which delta do I round. Is there a rule to rounding in these problems?

 

[HallsofIvy]

I have no idea what you are talking about. There is no "definition of a limit" in what you wrote. In the standard definition of limit, "epsilon" is given, not found. What curves are you talking about intersecting? To find the intersections of y= 1 and y= 4+ x- 3x^3, solve 4+ x- 3x^3= 1 which is the same as solving 3x^3- x- 3= 0. To find the intersections of y= 3 and y= 4+ x- 3x^3, solve 3x^3- x- 1= 0.

Those will not have rational roots. Is that what you are talking about "rounding"? There is no "rounding" in finding limits.