2. Use the definition of the appropriate limit to show (a) limr→∞(2x² + 4x – 1)/(3r³ + 1) 0. - (b) lim→∞ V3x² + 4/x = /3. (c) lim→-o V3.x² + 4/x = -V3. (d) lim,10(1/x – 1/x²) =
2. Use the definition of the appropriate limit to show (a) limr→∞(2x² + 4x – 1)/(3r³ + 1) 0. - (b) lim→∞ V3x² + 4/x = /3. (c) lim→-o V3.x² + 4/x = -V3. (d) lim,10(1/x – 1/x²) =
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Use the (epsilon - delta) definition to answer the following
![2. Use the definition of the appropriate limit to show
(a) lim, (2x² + 4x – 1)/(3³ + 1) = 0.
(b) lim,→∞ V3x² + 4/x = /3.
(c) lim,→-∞ V3x² + 4/x = –V3.
(d) limr40(1/x - 1/x²) = -o.
-
∞.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F187d6ce3-f16e-4919-9795-1c801fb3fce4%2F37b7dea3-c878-41c3-9092-18426451d351%2F0alldn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Use the definition of the appropriate limit to show
(a) lim, (2x² + 4x – 1)/(3³ + 1) = 0.
(b) lim,→∞ V3x² + 4/x = /3.
(c) lim,→-∞ V3x² + 4/x = –V3.
(d) limr40(1/x - 1/x²) = -o.
-
∞.
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