Ex 3 ml mtegrable over (0, 1].2. Compute f(x) dr.3. Compute limVn? - k2.人=1Exercise IIEvaluate lim(In(n2 +k)-2 1n(n)).よ=1Exercise IIIUse the M.V.T for integrals to evaluate| exp(-nr) sin(vT) dr.limExercise IVf(t)dt with f: R Ra continuous function and a,b two differeniaa(x)Let G(r):%3Dfunctions.1. Prove thatra(r)G(r) =S(1)dt- f()dt

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Answered: IM: Compute lim EVn? -.

Math

Advanced Math

IM: Compute lim EVn? -.

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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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Ex 3

ml mtegrable over (0, 1].
2. Compute f(x) dr.
3. Compute lim
Vn? - k2.
人=1
Exercise II
Evaluate lim
(In(n2 +k)-2 1n(n)).
よ=1
Exercise III
Use the M.V.T for integrals to evaluate
| exp(-nr) sin(vT) dr.
lim
Exercise IV
f(t)dt with f: R Ra continuous function and a,b two differenia
a(x)
Let G(r):
%3D
functions.
1. Prove that
ra(r)
G(r) =
S(1)dt- f()dt

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