Consider the function f(x) In this problem you will calculate Calculate Rn for f(x): Hint: Rn = lim Rn n→∞0 7. = 4 S^ ( - ²² - 7) dz 4 - 7 dx by using the definition The summation inside the brackets is Rn which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval. To f(x) dx = limf(x₁) Ax n→∞ x² 7 on the interval [0, 4] and write your answer as a function of n without any summation signs. 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function f(x)
In this problem you will calculate
Hint:
Rn
lim Rn
n→∞
2
2²2 -7.
4
4
• S" ( - ²² - 7) d
4
The summation inside the brackets is Rn which is the Riemann sum where the sample points are chosen to be the right-hand
endpoints of each sub-interval.
Calculate Rn for f(x)
X²
7 dx by using the definition
[*162) de - Hom [224]
f(x) dx
lim
f(x₁) Ax
i=1
- 7 on the interval [0, 4] and write your answer as a function of n without any summation signs.
4
Transcribed Image Text:Consider the function f(x) In this problem you will calculate Hint: Rn lim Rn n→∞ 2 2²2 -7. 4 4 • S" ( - ²² - 7) d 4 The summation inside the brackets is Rn which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval. Calculate Rn for f(x) X² 7 dx by using the definition [*162) de - Hom [224] f(x) dx lim f(x₁) Ax i=1 - 7 on the interval [0, 4] and write your answer as a function of n without any summation signs. 4
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