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
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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