Evaluate the following limits algebraically. 1. lim x---> -3 {-2x + 4; x <= -3 {x^2 + 1; x > -3 2. lim x---> -(infinity) (-3x^4 + 2x) / (-5x) 3. lim x----> -3 (x^2 - 9) / (x-3) 4. lim x----> 1^- x^2 / (x-1) 5. lim x-----> 1 (square root of (x+8) - 3) / (x - 1)
Evaluate the following limits algebraically. 1. lim x---> -3 {-2x + 4; x <= -3 {x^2 + 1; x > -3 2. lim x---> -(infinity) (-3x^4 + 2x) / (-5x) 3. lim x----> -3 (x^2 - 9) / (x-3) 4. lim x----> 1^- x^2 / (x-1) 5. lim x-----> 1 (square root of (x+8) - 3) / (x - 1)
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---> -3 {-2x + 4; x <= -3
{x^2 + 1; x > -3
2. lim x---> -(infinity) (-3x^4 + 2x) / (-5x)
3. lim x----> -3 (x^2 - 9) / (x-3)
4. lim x----> 1^- x^2 / (x-1)
5. lim x-----> 1 (square root of (x+8) - 3) / (x - 1)
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