Rewrite the following limit as a definite integral and evaluate it. lim 71-00,
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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Question
![Exploration and Opinion.
We know that definite integral of a continuous function f(x) over
interval [a, b] is defined to be the limit of Riemann sum, namely
IV
1.
[ f(x)
f(x) dx = limf(5) Ax
7-1
where a = x <X₁ <<x=b is a partition of the interval [a,b], Ax=x-X-
[x-x]. λ = max(Ax;}.
(1)
Rewrite the following limit as a definite integral and evaluate it.
lim
71-00,
n n](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d49a1bf-def0-472f-94db-660c9693a140%2Fdc9647f0-820e-4efc-a911-26a1c7ba7401%2F5wq9qb_processed.png&w=3840&q=75)
Transcribed Image Text:Exploration and Opinion.
We know that definite integral of a continuous function f(x) over
interval [a, b] is defined to be the limit of Riemann sum, namely
IV
1.
[ f(x)
f(x) dx = limf(5) Ax
7-1
where a = x <X₁ <<x=b is a partition of the interval [a,b], Ax=x-X-
[x-x]. λ = max(Ax;}.
(1)
Rewrite the following limit as a definite integral and evaluate it.
lim
71-00,
n n
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