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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 11E
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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.
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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