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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) =

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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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. - ∞.
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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