9 Questions
What is the limit of $\frac{\sqrt{x^2 - 4}}{x}$ as $x$ approaches 2?
undefined
What is the limit of $-(x - 2)$ as $x$ approaches 2?
-2
What is the conclusion about the limit of $(x - 2)$ as $x$ approaches 2?
It does not exist
What is the limit of $\frac{\sqrt{x^2 + 4}}{x}$ as $x$ approaches 2?
undefined
What is the limit of $\frac{\sqrt{x^2 + 4}}{x}$ as $x$ approaches 2 from the left?
1
What is the limit of $\frac{\sqrt{x^2 - 4}}{x}$ as $x$ approaches 2?
Does not exist
What is the left-hand limit of $\frac{\sqrt{x^2 - 4}}{x}$ as $x$ approaches 2?
-1
What is the right-hand limit of $\frac{\sqrt{x^2 - 4}}{x}$ as $x$ approaches 2?
-1
What is the conclusion about the limit of $(x - 2)$ as $x$ approaches 2?
$-1$
This quiz covers the computation of limits by evaluating expressions at a specific point, and analyzing the behavior of the expressions as they approach the given point. Topics include square roots, rational functions, and understanding the behavior of limits from both sides of a point.
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