(3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in Unit 1 and 2, show that: 1 h 4 (a) Lim х — 1 x+1 = -2 (b) Ļim h-0 V5h + 4 –- 2 X-0 X t3 – 1 -= 3. (c) Lim- t-1 t-1

(3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in Unit 1 and 2, show that: 1 h 4 (a) Lim х — 1 x+1 = -2 (b) Ļim h-0 V5h + 4 –- 2 X-0 X t3 – 1 -= 3. (c) Lim- t-1 t-1

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

(3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge
gained in Unit 1 and 2, show that:
1
h
4
(a) Lim
х — 1
x+1
= -2
(b) Ļim
h-0 V5h + 4 –- 2
X-0
X
t3 – 1
-= 3.
(c) Lim-
t-1 t-1

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