2) Suppose that f(x) = 5x² over the interval [1, 2]. Let Ax = 1/n. Let x₁=1+iAx. Find the limit of the sum In this case the index variable for the summation 08/3 011/3 10/3 O 14/3 f (x₁) Ar as n approaches infinity. is obviously i and i = 1, 2, ..., n. -
2) Suppose that f(x) = 5x² over the interval [1, 2]. Let Ax = 1/n. Let x₁=1+iAx. Find the limit of the sum In this case the index variable for the summation 08/3 011/3 10/3 O 14/3 f (x₁) Ar as n approaches infinity. is obviously i and i = 1, 2, ..., n. -
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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![The problem is about finding the limit of a Riemann sum as an integral.
**Problem Statement:**
2) Suppose that \( f(x) = 5 - x^2 \) over the interval \([1, 2]\). Let \(\Delta x = 1/n\).
Let \( x_i = 1 + i \Delta x \). Find the limit of the sum \( \sum f(x_i) \Delta x \) as \( n \) approaches infinity.
In this case, the index variable for the summation is obviously \( i \) and \( i = 1, 2, \ldots, n \).
**Options:**
- \( \frac{8}{3} \)
- \( \frac{11}{3} \)
- \( \frac{10}{3} \)
- \( \frac{14}{3} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02c8dc93-8b6f-4993-a985-0ce320a356a6%2F701a50fe-a6c6-4426-917d-5b1ae349d0e2%2Fi5fhqwo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The problem is about finding the limit of a Riemann sum as an integral.
**Problem Statement:**
2) Suppose that \( f(x) = 5 - x^2 \) over the interval \([1, 2]\). Let \(\Delta x = 1/n\).
Let \( x_i = 1 + i \Delta x \). Find the limit of the sum \( \sum f(x_i) \Delta x \) as \( n \) approaches infinity.
In this case, the index variable for the summation is obviously \( i \) and \( i = 1, 2, \ldots, n \).
**Options:**
- \( \frac{8}{3} \)
- \( \frac{11}{3} \)
- \( \frac{10}{3} \)
- \( \frac{14}{3} \)
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