Suppose f : A →R is a function, c is a limit point of A, and limx→c f(x) = L. Prove limx→c kf(x) = kL by using the ε-δ definition of the limit.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.1: Limits
Problem 61E
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Suppose f : A →R is a function, c is a limit point of A, and limx→c f(x) = L. Prove limx→c kf(x) = kL
by using the ε-δ definition of the limit.

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