1. Prove that: (a) lim 70 xi +3x² does not exist.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![1. Prove that:
xº
(a) lim -
70 xi +3x²
6
x²³x²
212
7>0 [x² + x²]²
(b) lim-
does not exist.
(c) lim
= 0.
(₁1)²(x₂ - 2)²
7+(1,2) [(x₁ − 1)² + (x₂ − 2)²] ³
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cb378ba-be87-4838-bd31-84fa6b2aaf1f%2F543072a1-ee9e-4542-ad7e-1bb9a3fdf507%2Fqkzzs8_processed.png&w=3840&q=75)
Transcribed Image Text:1. Prove that:
xº
(a) lim -
70 xi +3x²
6
x²³x²
212
7>0 [x² + x²]²
(b) lim-
does not exist.
(c) lim
= 0.
(₁1)²(x₂ - 2)²
7+(1,2) [(x₁ − 1)² + (x₂ − 2)²] ³
0
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