We appreciate your visit to In the following exercises consider the graph of the function shown here Which of the statements about are true and which are false Explain why. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The true statement are 47, The false statements are: 46, 48, 49,
How to find Which of the statements about =() are true and which are false
Let's consider each statement one by one.
Statement 46:** lim→10()=0
This statement is **false**. As x approaches 10 from the right, the function approaches 3. However, as x approaches 10 from the left, the function approaches 0. Therefore, the limit does not exist.
Statement 47:** lim→−2+()=3
This statement is true. As x approaches -2 from the right, the function approaches 3. Therefore, the limit exists and is equal to 3.
Statement 48:** lim→−8()=(−8)
This statement is false. The function approaches 3 as x approaches -8 from the right. However, the function approaches -8 as x approaches -8 from the left. Therefore, the limit does not exist.
Statement 49: lim→6()=5
This statement is false. The function approaches 3 as x approaches 6 from the right. However, the function approaches 0 as x approaches 6 from the left. Therefore, the limit does not exist.
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