Problem 67. Assume f is a graph, and x₁,x2, x3, ... is a sequence of points in the domain of f converging to to the point c in the domain of f, and for each positive integer n f(xn) ≥n. Show that f is not continuous at c.

Calculus For The Life Sciences
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ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Problem 67. Assume f is a graph, and x₁,x2, x3, ... is a sequence of points
in the domain of f converging to to the point c in the domain of f, and for
each positive integer n f(xn) ≥n. Show that f is not continuous at c.
Transcribed Image Text:Problem 67. Assume f is a graph, and x₁,x2, x3, ... is a sequence of points in the domain of f converging to to the point c in the domain of f, and for each positive integer n f(xn) ≥n. Show that f is not continuous at c.
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