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2. Determine the following limits and state which theorems are used in each case. (You may wish to use Exercise 15 below.) 2x+1 x² - 4 (a) lim x→2 (x > 0), (b) x+3 lim x-2 X (x > 0), 2 (c) (x+1)² 1 lim (x > 0), (d) lim (x > 0). x→0 x x-1x-

2. Determine the following limits and state which theorems are used in each case. (You may wish to use Exercise 15 below.) 2x+1 x² - 4 (a) lim x→2 (x > 0), (b) x+3 lim x-2 X (x > 0), 2 (c) (x+1)² 1 lim (x > 0), (d) lim (x > 0). x→0 x x-1x-

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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4.2.2 Intro To Real Analysis 

2. Determine the following limits and state which theorems are used in each case. (You may wish to use Exercise 15 below.) 2x+1 x² - 4 (a) lim x→2 (x > 0), (b) x+3 lim x-2 X (x > 0), 2 (c) (x+1)² 1 lim (x > 0), (d) lim (x > 0). x→0 x x-1x-
Transcribed Image Text:2. Determine the following limits and state which theorems are used in each case. (You may wish to use Exercise 15 below.) 2x+1 x² - 4 (a) lim x→2 (x > 0), (b) x+3 lim x-2 X (x > 0), 2 (c) (x+1)² 1 lim (x > 0), (d) lim (x > 0). x→0 x x-1x-
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