6. Use the properties of limits to evaluate cach of the following limits,2n-3n2n+n'n(n+2).V3n22n 7-5n +4O Em(ii) lim(ii) lim (Vn+ n-n)(第)2n-3\3n +7(iv) lim(v) lim (Vn+1- V5)(vi) limn+1n2 +1(vii) lim (V4n +n+5-2n)(viii) lim8n -47. Use the theorems on limits to evaluate each of the following limits,3+r-V38r +4(1) lim(i) lim(ili) limーx 2r-r+2(iv) lim (4r +5)

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Answered: 6. Use the properties of limits to…

6. Use the properties of limits to evaluate each of the following limits, 2n-3n 2n +n O lim V3n -5n +4 (ii) im (v+n-n) (ii) lim 2n 7

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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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

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6. Use the properties of limits to evaluate cach of the following limits,
2n-3n
2n+n
'n(n+2).
V3n2
2n 7
-5n +4
O Em
(ii) lim
(ii) lim (Vn+ n-n)
(第)
2n-3\
3n +7
(iv) lim
(v) lim (Vn+1- V5)
(vi) lim
n+1
n2 +1
(vii) lim (V4n +n+5-2n)
(viii) lim
8n -4
7. Use the theorems on limits to evaluate each of the following limits,
3+r-V3
8r +4
(1) lim
(i) lim
(ili) lim
ーx 2r-r+2
(iv) lim (4r +5)

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