Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If f is continuous and nonnegative on [a, b], then the limits as n ∞ of its lower sum s(n) and upper sum S(n) both exist and are equal.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If f is continuous and nonnegative on [a, b], then the limits as n ∞ of its lower sum s(n) and upper sum S(n) both exist and are equal.

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The statement, "If f is continuous and nonnegative on [a, b], then the limits as n→∞ of its lower sum s(n) and upper sum S(n) both exist and are equal." is true.

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