When Is a Number L not the Limit of ƒ (...

When Is a Number L not the Limit of ƒ ( x ) as x → x₀?

Showing L is not a limit We can prove that We accomplish this for our candidate ∊ by showing that for each δ > 0 there exists a value of x such that

Let = ∊: ½ Show that no possible δ > 0 satisfies the following condition:

That is, for each δ > 0 show that there is a value of x such that