3. True or False? Prove your answer! If f : R → R is continuous and (xn) is a sequence such that (f(xn)) converges to f(c), then (xn) converges to c. [HINT: x^2 or a constant function]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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3. True or False? Prove your answer!
If f : R → R is continuous and (xn) is a sequence such that (f(xn)) converges to f(c), then (xn) converges to c. [HINT: x^2 or a constant function]

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