Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain why or give an example that disproves thestatement. If f is continuous on [0, ∞] and ∫1∞f(x) dx is convergent,then ∫0∞f(x) dx is convergent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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Determine whether the statement is true or false. If it is true, explain
why. If it is false, explain why or give an example that disproves the
statement.

If f is continuous on [0, ∞] and ∫1f(x) dx is convergent,
then ∫0f(x) dx is convergent.

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