4. Let n be a positive integer with n 2. In addition, let f(x) = 1/x for 1 < x Inn 1+ 2 n - 1 1 (b) Find an integer n such that 1+ + 1 > 1,000, 000. (Hint: Does Exercise 2 help?). n - 1 1 + 3 1 (Note: In fact, 1+ = 0o. Example 4 in Section 9.4 proves this fact.)
4. Let n be a positive integer with n 2. In addition, let f(x) = 1/x for 1 < x Inn 1+ 2 n - 1 1 (b) Find an integer n such that 1+ + 1 > 1,000, 000. (Hint: Does Exercise 2 help?). n - 1 1 + 3 1 (Note: In fact, 1+ = 0o. Example 4 in Section 9.4 proves this fact.)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![4. Let n be a positive integer with n > 2. In addition, let f(x) =1/x for 1 <x < n, and let P = {1,2, ...,n}
be a partition of [1, n].
%3D
(a) By using the appropriate left sum or right sum of f for P, show that
1
> Inn
1
1
1+
3
n - 1
1
> 1,000, 000. (Hint: Does Exercise 2 help?).
1
(b) Find an integer n such that 1+
3
1
(Note: In fact, 1+
o. Example 4 in Section 9.4 proves this fact.)
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ce3c102-932f-46ac-8a3f-a8eb61b551e7%2F4f4d4c5d-3643-4084-b292-727880bed4dc%2Fbt8itka_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let n be a positive integer with n > 2. In addition, let f(x) =1/x for 1 <x < n, and let P = {1,2, ...,n}
be a partition of [1, n].
%3D
(a) By using the appropriate left sum or right sum of f for P, show that
1
> Inn
1
1
1+
3
n - 1
1
> 1,000, 000. (Hint: Does Exercise 2 help?).
1
(b) Find an integer n such that 1+
3
1
(Note: In fact, 1+
o. Example 4 in Section 9.4 proves this fact.)
||
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