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Home > CALC > Chapter 2 > Lesson 2.4.1 > Problem 2-144

2-144.

At a vertical asymptote, f(x) approaches −∞ from the left and +∞ from the right.

Reason 1: ∞ is not finite.
Reason 2: +∞ does not agree with −∞

Careful! Just because f(4) exists, does not mean that the limit x→4 exists.