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Homework Statement
Prove using ε/δ definition,
lim x tends to -1 (x^3+2x^2) = 1
Homework Equations
The Attempt at a Solution
I have done to the step where δ(δ^2-δ-1) ≤ δ ≤ ε
so i choose ε=min(2,ε)
Not sure whether I am correct or not
[itex](-1)^3 + 2(-1)^2 = -1 + 2 = 1[/itex]. Last time I checked, [itex]x^3 + 2x^2[/itex] was continuous everywhere.i hope you realize that
$$\lim_{x \to -1} (x^3+2x^2) \ne 1$$