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The figure below shows the graph of a linear function, f(x), whose limit at an unspecified x-coordinate evaluates to L (shown as a red point on the y-axis). A positive value for e has been chosen. Complete the following tasks: 1. Adjust the value of a by sliding the purple movable point to obtain the approximate x-coordinate at which the limit of the function evaluates to L. In other words, find the value of a such that limf(x) = L. Adjust the value of 8 by sliding the orange movable points to obtain an approximate interval of x such that if 0 < x-al < 8, then [f(x) - L| < e. Note that this assessment does not require you to obtain exact measures of a and 8 since the exact form of f(x) is not given. Instead, you will use the graph to approximate a and 8 in a way that agrees with your understanding of the formal epsilon-delta definition of the limit. Provide your answer below: -10 RESET -5 + 10 Z+e L 73 E 5 0 -5 -10 1 5 10

The figure below shows the graph of a linear function, f(x), whose limit at an unspecified x-coordinate evaluates to L (shown as a red point on the y-axis). A positive value for e has been chosen. Complete the following tasks: 1. Adjust the value of a by sliding the purple movable point to obtain the approximate x-coordinate at which the limit of the function evaluates to L. In other words, find the value of a such that limf(x) = L. Adjust the value of 8 by sliding the orange movable points to obtain an approximate interval of x such that if 0 < x-al < 8, then [f(x) - L| < e. Note that this assessment does not require you to obtain exact measures of a and 8 since the exact form of f(x) is not given. Instead, you will use the graph to approximate a and 8 in a way that agrees with your understanding of the formal epsilon-delta definition of the limit. Provide your answer below: -10 RESET -5 + 10 Z+e L 73 E 5 0 -5 -10 1 5 10

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The figure below shows the graph of a linear function, f(x), whose limit at an unspecified .x-coordinate evaluates to L (shown as a red point on the y-axis). A positive value for e has been chosen. Complete the following tasks: 1. Adjust the value of a by sliding the purple movable point to obtain the approximate x-coordinate at which the limit of the function evaluates to L. In other words, find the value of a such that limf(x) = L. Adjust the value of 8 by sliding the orange movable points to obtain an approximate interval of .x such that if 0 < x-al < 8, then [f(x) - L| < e. Note that this assessment does not require you to obtain exact measures of a and since the exact form of f(x) is not given. Instead, you will use the graph to approximate a and 8 in a way that agrees with your understanding of the formal epsilon-delta definition of the limit. Provide your answer below: -10 RESET a-s -5 + 10 L+e L L E 5 0 -5 -10 1 5 10
Transcribed Image Text:The figure below shows the graph of a linear function, f(x), whose limit at an unspecified .x-coordinate evaluates to L (shown as a red point on the y-axis). A positive value for e has been chosen. Complete the following tasks: 1. Adjust the value of a by sliding the purple movable point to obtain the approximate x-coordinate at which the limit of the function evaluates to L. In other words, find the value of a such that limf(x) = L. Adjust the value of 8 by sliding the orange movable points to obtain an approximate interval of .x such that if 0 < x-al < 8, then [f(x) - L| < e. Note that this assessment does not require you to obtain exact measures of a and since the exact form of f(x) is not given. Instead, you will use the graph to approximate a and 8 in a way that agrees with your understanding of the formal epsilon-delta definition of the limit. Provide your answer below: -10 RESET a-s -5 + 10 L+e L L E 5 0 -5 -10 1 5 10
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