Evaluate the following limits algebraically. 1. lim x---> 2      {5x - 7; x < 2                                            {3x^2 - x; x >= 2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.1: Limits
Problem 75E: Explain in your own words why the rules for limits at infinity should be true.
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Evaluate the following limits algebraically.

1. lim x---> 2      {5x - 7; x < 2                     

                      {3x^2 - x; x >= 2

 

2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8)

 

3. lim x---> 1         (2x - 3) / (x - 1)

 

4. lim x---> +(infinity)       (3x^2 + 6x - 2) / (4x^2 - 5x + 10)

 

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Evaluate the following limits algebraically.

2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8)

4. lim x---> +(infinity)       (3x^2 + 6x - 2) / (4x^2 - 5x + 10)

 

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