Suppose a function a increases on [a, b}, a < xo sb, a is continuous at xo. Let f be a function defined in [a,b] such that f (xo) = 1 and b f (x) = 0 for x# xo. Prove that f eR (a) on [a, b] and f da = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Suppose a function a increases on [a, b}, a < xo <b, a is
continuous at xo. Lei f be a function defined in [a,b] such that f (xo) = 1 and
f (x) = 0 for x#xo. Prove that f ɛR (a) on [a, b] and f da= 0.
%3D
a
Transcribed Image Text:Suppose a function a increases on [a, b}, a < xo <b, a is continuous at xo. Lei f be a function defined in [a,b] such that f (xo) = 1 and f (x) = 0 for x#xo. Prove that f ɛR (a) on [a, b] and f da= 0. %3D a
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