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Let f(x) (x² + 1) cosh x² 1. It's true that Of is an infinitesimal, non-comparable with 1 ○ 13 24x4 f(x) = 2 ² 2 + + 0 ( 1 ) ₁ as xo ○ f(x) = 0 10 (1)₁ as xx of is not infinitesimal, as xx X 31 Of has principal part 2 x² with respect to as x-x 1 X as x→∞

Let f(x) (x² + 1) cosh x² 1. It's true that Of is an infinitesimal, non-comparable with 1 ○ 13 24x4 f(x) = 2 ² 2 + + 0 ( 1 ) ₁ as xo ○ f(x) = 0 10 (1)₁ as xx of is not infinitesimal, as xx X 31 Of has principal part 2 x² with respect to as x-x 1 X as x→∞

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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Please explain the question clearly with all the options(a,b,c,d,e) and What is the meaning of "principle part"
Let f(x) (x² + 1) cosh x² 1. It's true that Of is an infinitesimal, non-comparable with ○ f(x) 1 13 + 2x² 24x4 + 0 ( 1 ) ₁ as xo ○ f(x) = 0 • (-/-)₁ as xx of is not infinitesimal, as x → ∞ X 31 Of has principal part 2 x² The correct answer is: f has principal part with respect to 3 1 13 2 x² as x-x HIX 1 as x→∞ 1 X with respect to as xx
Transcribed Image Text:Let f(x) (x² + 1) cosh x² 1. It's true that Of is an infinitesimal, non-comparable with ○ f(x) 1 13 + 2x² 24x4 + 0 ( 1 ) ₁ as xo ○ f(x) = 0 • (-/-)₁ as xx of is not infinitesimal, as x → ∞ X 31 Of has principal part 2 x² The correct answer is: f has principal part with respect to 3 1 13 2 x² as x-x HIX 1 as x→∞ 1 X with respect to as xx
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