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AP Calculus BC/Unit 1: Limits and Continuity
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Limit at a Removable Discontinuity

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Let the function $h$ be defined by $h(x) = (x³ - 8)/(x - 2)$ for $x \neq 2$. Which of the following statements best describes the behavior of $h$ as $x$ approaches 2?

A

h(x) is undefined at x = 2 and remains undefined as x → 2

B

h(x) oscillates between positive and negative values

C

h(x) approaches infinity as x approaches 2

D

h(x) approaches 12 as x approaches 2

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