2. Use the definition of the appropriate limit to show (a) lim→∞(2x² + 4x – 1)/(3x³+ 1) = 0. (b) lim,→∞ V3x² + 4/x = v3.
2. Use the definition of the appropriate limit to show (a) lim→∞(2x² + 4x – 1)/(3x³+ 1) = 0. (b) lim,→∞ V3x² + 4/x = v3.
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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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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