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Chapter 2

Limits

What a rule is heading for, even where it has no value.

1

A hole in the graph

At x = 1 this rule gives 0 ÷ 0, which is no number at all. Slide x in towards 1 and watch what f(x) does.

−1−0.50.511.522.531234xyf(2.5) = 3.5

f(x)=x2−1x−1f(x) = \dfrac{x^2 - 1}{x - 1}

Next chapter: The derivative →