Course : Real Analysispart two (ii) Question 1Prove the limit comparison theoremi. Suppose that an20 and b,20 and thatanlim7=and Eb, both converge or both diverge.2n2 +n+2Then either En=ani Use the result in (i) to test for convergence Zn=15n3 + 3n1iii. Use the result in (i) to test for convergence 2, =13D1Vn? + 5

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Answered: 2n? +n+2. En=1 5n3 +3n ii. Use the…

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2n? +n+2. En=1 5n3 +3n ii. Use the result in (i) to test for convergence

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

Course : Real Analysis

part two (ii)

Question 1
Prove the limit comparison theorem
i. Suppose that an20 and b,20 and that
an
lim
7=
and Eb, both converge or both diverge.
2n2 +n+2
Then either En=an
i Use the result in (i) to test for convergence Zn=1
5n3 + 3n
1
iii. Use the result in (i) to test for convergence 2, =1
3D1
Vn? + 5

Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.

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