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Expert-verifiedFound in: Page 338

Book edition
1st

Author(s)
Peter Kohn, Laura Taalman

Pages
1155 pages

ISBN
9781429241861

Determine whether each of the statements that follow is true or false. If a statement is true, explain why. If a statement is false, provide a counter example.

(a) True or False: The n-rectangle lower sum for f on [a, b] is always equal to the corresponding right sum.

The given statement is False

The $n-$Rectangle lower sum for $f$ on $[a,b]$ is always equal to the corresponding right sum.

The statement is,

The $n-$Rectangle lower sum for $f$ on $[a,b]$is always equal to the corresponding right sum.

The statement is false.The upper sum is always greater than or equal to the actual signed area where as the lower sum is always less than or equal to the actual signed area.Therefore, the statement is false

Therefore, the given statement is false

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