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.

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 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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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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