Exercise 5.4.2. Find the upper sum and lower sum for each of the following functions with respect to the given partition. - (1) Let f: [1,3] → R be defined by f(x) = for all x = [1,3], and let P = {1,1.4, 1.8,2.2, 2.6,3}. (2) Let s be the function given in Example 5.2.6 (4), and let Q = {0, 1, 2, 3, 7, 1}.

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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5.4.2(2) For the upper sum, please use 0/1, 1/3, 1/2, 2/3, and 1/1. The lower sum is zero when all points are irrational
Exercise 5.4.2. Find the upper sum and lower sum for each of the following functions
with respect to the given partition.
-
(1) Let f: [1,3] → R be defined by f(x) = for all x = [1,3], and let P =
{1, 1.4, 1.8,2.2, 2.6,3}.
(2) Let s be the function given in Example 5.2.6 (4), and let Q = {0, 1, 2, 3, 7, 1}.
Transcribed Image Text:Exercise 5.4.2. Find the upper sum and lower sum for each of the following functions with respect to the given partition. - (1) Let f: [1,3] → R be defined by f(x) = for all x = [1,3], and let P = {1, 1.4, 1.8,2.2, 2.6,3}. (2) Let s be the function given in Example 5.2.6 (4), and let Q = {0, 1, 2, 3, 7, 1}.
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