Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Estimating Limits Using a Table of Values**
To find the value of the following limit, use a table of values with your calculator to estimate to at least two decimal places:
\[
\lim_{x \to 1} \frac{x^2 + 4x - 5}{x - 1}
\]
**Instructions:**
1. Identify values of \(x\) approaching 1 from both the left and the right.
2. Calculate the expression \((x^2 + 4x - 5)/(x - 1)\) for these \(x\) values.
3. Record these values in a table.
4. Observe the trend as \(x\) approaches 1 and estimate the limit to two decimal places.
By following these steps and using a calculator, you can accurately determine the limit of the function as \(x\) approaches 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F868b8534-4d89-4d63-908b-b662dc9aeef4%2F647d3a3d-5272-4228-bcc1-1f05de413e80%2Fxjb3wy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Estimating Limits Using a Table of Values**
To find the value of the following limit, use a table of values with your calculator to estimate to at least two decimal places:
\[
\lim_{x \to 1} \frac{x^2 + 4x - 5}{x - 1}
\]
**Instructions:**
1. Identify values of \(x\) approaching 1 from both the left and the right.
2. Calculate the expression \((x^2 + 4x - 5)/(x - 1)\) for these \(x\) values.
3. Record these values in a table.
4. Observe the trend as \(x\) approaches 1 and estimate the limit to two decimal places.
By following these steps and using a calculator, you can accurately determine the limit of the function as \(x\) approaches 1.
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