:- 5) Find an example of a countable family of continuous functions f, [0, 1] → [0 + ∞[, i € N, such that the function infien fi: [0, 1] → [0, +∞[, defined by +∞ inf f(t) = inf f(x), IEN i=0 is finite everywhere, but not continuous.
:- 5) Find an example of a countable family of continuous functions f, [0, 1] → [0 + ∞[, i € N, such that the function infien fi: [0, 1] → [0, +∞[, defined by +∞ inf f(t) = inf f(x), IEN i=0 is finite everywhere, but not continuous.
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.CR: Chapter 3 Review
Problem 4CR
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