Express the limit as a definite integral on the given interval. Assume that the interval [a, b] is divided into n subintervals of equal width Ax = (b − a)/n. Let xo(-a), x₁, x₂,.. xn(−b) * be the endpoints of the subintervals and let x₁, x2, X1, sample points in these subintervals. n exi 19. lim n→∞ n · Δ.x, [0, 1] 1 + xi 20. lim xV1+x; Ax, [2,5] n→ ∞ i = 1 2 9 Xn be the
Express the limit as a definite integral on the given interval. Assume that the interval [a, b] is divided into n subintervals of equal width Ax = (b − a)/n. Let xo(-a), x₁, x₂,.. xn(−b) * be the endpoints of the subintervals and let x₁, x2, X1, sample points in these subintervals. n exi 19. lim n→∞ n · Δ.x, [0, 1] 1 + xi 20. lim xV1+x; Ax, [2,5] n→ ∞ i = 1 2 9 Xn be the
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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![Express the limit as a definite integral on the given interval.
Assume that the interval [a, b] is divided into n subintervals of
equal width Ax = (b − a)/n. Let xo(-a), x₁, x₂,..
xn(−b)
be the endpoints of the subintervals and let x₁, x2,
X1,
sample points in these subintervals.
n exi
19. lim
n→∞
n
· Δ.x, [0, 1]
1 + xi
20. lim x;VI+x; Ax, [2,5]
n→ ∞ i = 1
2
9
Xn be the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7bdf6ed-1395-448f-af3a-d490011efd29%2F1c2a83ab-618b-45b2-8b7e-e8c6a139765a%2Ftdkq6d_processed.png&w=3840&q=75)
Transcribed Image Text:Express the limit as a definite integral on the given interval.
Assume that the interval [a, b] is divided into n subintervals of
equal width Ax = (b − a)/n. Let xo(-a), x₁, x₂,..
xn(−b)
be the endpoints of the subintervals and let x₁, x2,
X1,
sample points in these subintervals.
n exi
19. lim
n→∞
n
· Δ.x, [0, 1]
1 + xi
20. lim x;VI+x; Ax, [2,5]
n→ ∞ i = 1
2
9
Xn be the
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