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mamaluj [8]
2 years ago
12

"Use the given graph to determine the limit, if it exists.

Mathematics
2 answers:
meriva2 years ago
8 0
 \lim_{x \to 2} f(x)=3 ( x approaches 2 from the left )
\lim_{x \to 2} f ( x ) = -3 ( x approaches 2 from the right )

Dennis_Churaev [7]2 years ago
7 0

The <u>correct answer</u> is:


The limit of f(x) as <u>x approaches 2 from the left</u> is 3. This is represented algebraically by

\lim_{x \to 2} f(x) =3

The limit of f(x) as <u>x approaches 2 from the right</u> is -3. This is represented algebraically by

\lim_{x \to 2} f(x)=-3


Explanation:


From the left, we have a horizontal line approaching the value x=2. When we get to this point, the horizontal line stops at (2, 3). This means the limit is 3.


From the right, we have a horizontal line approaching the value x=2. When we get to this point, the horizontal line stops at (2, -3). This means the limit is -3.

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