12. Show that the following limits do not exist. 1 (a) lim (x > 0), x→0x2 (c) lim (x+sgn(x)), x-0 (b) lim (x > 0). x-√x (d) lim sin (1/x²). x-0
12. Show that the following limits do not exist. 1 (a) lim (x > 0), x→0x2 (c) lim (x+sgn(x)), x-0 (b) lim (x > 0). x-√x (d) lim sin (1/x²). x-0
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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Question
4.1.12 Intro To
Transcribed Image Text:12. Show that the following limits do not exist.
1
(a)
lim
x→0x2
(x > 0),
(c) lim (x + sgn(x)),
x-0
(b)
lim
(x > 0),
x->0 √x
(d)
lim sin (1/x2).
x-0
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