Exercise 3.1.7: Find an example of a function f: [−1,1] - → R, where for A := = [0, 1], we have f\A(x) → 0 as x → 0, but the limit of f(x) as x→ 0 does not exist. Note why you cannot apply Proposition 3.1.15.
Exercise 3.1.7: Find an example of a function f: [−1,1] - → R, where for A := = [0, 1], we have f\A(x) → 0 as x → 0, but the limit of f(x) as x→ 0 does not exist. Note why you cannot apply Proposition 3.1.15.
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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![Exercise 3.1.7: Find an example of a function f: [−1,1] - → R, where for A := = [0, 1], we have f\A(x) → 0 as
x → 0, but the limit of f(x) as x→ 0 does not exist. Note why you cannot apply Proposition 3.1.15.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3041f420-d417-48db-aa32-0c43bb8e624c%2Fbf2cebe0-78fa-4943-bf4e-4ab1eead4184%2Fpk1n2u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 3.1.7: Find an example of a function f: [−1,1] - → R, where for A := = [0, 1], we have f\A(x) → 0 as
x → 0, but the limit of f(x) as x→ 0 does not exist. Note why you cannot apply Proposition 3.1.15.
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