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(Section 2.4: Limits and Infinity II) 2.4.1 SECTION 2.4: LIMITS AND INFINITY II PART A: “EXPLODING GRAPHS”: VERTICAL ASYMPTOTES (VAs) and INFINITE LIMITS AT A POINT In Section 2.1, we discussed lim x ± a fx () , which is referred to as a limit at a point , the “point” being the real constant a . ( a can be thought of as a point on the real number line.) This limit might not exist, although we can sometimes use ± and ±² to describe why the limit does not exist. Example 1 (Reciprocal Function; Revisiting Example 1 from Section 2.3)
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