5. Suppose the function f has the property that there exists a positive number B such that f(x)-f(a)| ≤ Br - a| for all ar € (ap, a + p) with some p > 0. Prove that f is continuous at a by using the formal epsilon-delta definition of the continuity.

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.
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5. Suppose the function f has the property that there exists a positive number B such that
|f(x) - f(a)| ≤ B|x - a
for all x = (a - p, a + p) with some p > 0.
Prove that f is continuous at a by using the formal epsilon-delta definition of the continuity.
Transcribed Image Text:5. Suppose the function f has the property that there exists a positive number B such that |f(x) - f(a)| ≤ B|x - a for all x = (a - p, a + p) with some p > 0. Prove that f is continuous at a by using the formal epsilon-delta definition of the continuity.
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