- #1
musicfairy
- 101
- 0
I don't know how yor format this, so:
x3 + x2 +x +1
The limit of that function = 0 as x approaches -1
What's the greatest value of delta when epsilon = 0.1?
This is what I tried to do:
|x3 + x2 + x + 1| < 0.1
-0.1 < x3 + x2 + x + 1 < 0.1
-1.1 < x3 + x2 + x < -0.9
In my calculator I plotted y = f(x), y = -1.1, and y = -0.9
The intersect are at x = -1.379 and x = -1.326
So I plugged them in this equation.
0<|x + 1|<delta
|-1.379 + 1| < 0.379
|-1.326 + 1| < 0.326
So I pick delta = 0.326 because it's smaller.
Now can someone please tell me everything that went wrong and offer any advice on how I could understand this?
x3 + x2 +x +1
The limit of that function = 0 as x approaches -1
What's the greatest value of delta when epsilon = 0.1?
This is what I tried to do:
|x3 + x2 + x + 1| < 0.1
-0.1 < x3 + x2 + x + 1 < 0.1
-1.1 < x3 + x2 + x < -0.9
In my calculator I plotted y = f(x), y = -1.1, and y = -0.9
The intersect are at x = -1.379 and x = -1.326
So I plugged them in this equation.
0<|x + 1|<delta
|-1.379 + 1| < 0.379
|-1.326 + 1| < 0.326
So I pick delta = 0.326 because it's smaller.
Now can someone please tell me everything that went wrong and offer any advice on how I could understand this?