Problem #3: Prove the following theorem: Theorem 2. If f: AR and c E A is an accumulation point of A, then f is continuous at c if and only if lim f(x) = f(c) 8个& for every sequence (xn) in A such that xn → c as n → ∞.
Problem #3: Prove the following theorem: Theorem 2. If f: AR and c E A is an accumulation point of A, then f is continuous at c if and only if lim f(x) = f(c) 8个& for every sequence (xn) in A such that xn → c as n → ∞.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
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