Problem 5, 14. Let e € R and let f : R – R be such that lim VIS(2)| • L. (a) Show that if L = 0, then lim f(x) = 0, (b) Show by example that if L# 0, then f may not have a limit at e.
Problem 5, 14. Let e € R and let f : R – R be such that lim VIS(2)| • L. (a) Show that if L = 0, then lim f(x) = 0, (b) Show by example that if L# 0, then f may not have a limit at e.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Problem 5, 14. Let e e Rand let f : R -R be such that lim S()
L. (a) Show that if L = 0, then lim f(2) = 0, (b) Show by example that if
L#0, then f may not have a limit at c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd8d8735-9c73-4514-b266-86ea6bde384d%2F0b7ccb8b-ffda-4f1e-b080-9d904f07b530%2Fao5idh_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 5, 14. Let e e Rand let f : R -R be such that lim S()
L. (a) Show that if L = 0, then lim f(2) = 0, (b) Show by example that if
L#0, then f may not have a limit at c.
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