We appreciate your visit to Stephon makes the following statements statement 1 lim x 3 f x exists and is equal to 1 statement 2 lim x 1 f x. 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!
The correct answer is "statement 1 only".
To determine the correctness of the statements made by Stephon regarding the limits of the function f(x) as x approaches certain values, analyze the given graph.
1. Statement 1: [tex]\(\lim_{{x \to -3}}[/tex] f(x) exists and is equal to 1
- To verify this, look at the value of the function as x approaches -3.
- From the graph, as x approaches -3 from both sides (left and right), it appears that the function value approaches 1.
2. Statement 2: [tex]\(\lim_{{x \to 1}}[/tex] f(x) exists and is equal to 1
- To verify this, look at the value of the function as x approaches 1.
- From the graph, as x approaches 1 from the left, the function value is approaching -2. As x approaches 1 from the right, the function value is approaching 2.
- Since the left-hand limit and the right-hand limit are not equal, the limit [tex]\(\lim_{{x \to 1}} f(x)\)[/tex] does not exist.
Based on this analysis:
- Statement 1 is true.
- Statement 2 is false.
Therefore, the correct answer is "statement 1 only".
Thanks for taking the time to read Stephon makes the following statements statement 1 lim x 3 f x exists and is equal to 1 statement 2 lim x 1 f x. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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