Let f(x) = Vx - 2. Our aim is to prove that lim f(x) = 00. Which among the following %3D X-00 choices is the best choice to reach our aim? a. For every a > 0, take B = a + 2. So that if x 2 B then f (x) s a. %3D b. For every a > 0, take ß = a + 2. So that if x sB then f(x) 2 a. %3D c. For every a > 0, take B = a + 2. So that if x sB then f(x) s a. %3D d. For every a > 0, take ß a + 2. So that if x 2 B then f (x) 2 a. %3D e. None of these

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f (x) = Vx– 2. Our aim is to prove that lim f(x) = ∞. Which among the following
X00
choices is the best choice to reach our aim?
a. For every a > 0, take ß = a³ + 2. So that if x 2 B then f(x) < a.
%3D
b. For every a > 0, take ß = a³ + 2. So that if x <B then f (x) 2 a.
c. For every a > 0, take ß = a³ + 2. So that if x s ß then f (x) < a.
%3D
d. For every a > 0, take ß = a³ + 2. So that if x 2 B then f(x) 2 a.
%3D
e. None of these
Transcribed Image Text:Let f (x) = Vx– 2. Our aim is to prove that lim f(x) = ∞. Which among the following X00 choices is the best choice to reach our aim? a. For every a > 0, take ß = a³ + 2. So that if x 2 B then f(x) < a. %3D b. For every a > 0, take ß = a³ + 2. So that if x <B then f (x) 2 a. c. For every a > 0, take ß = a³ + 2. So that if x s ß then f (x) < a. %3D d. For every a > 0, take ß = a³ + 2. So that if x 2 B then f(x) 2 a. %3D e. None of these
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