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Imagine you have a sibling, cousin, child, or friend who is taking this class in a couple years, and you are- helping them with their homework. They are having a hard time understanding the difference between the d?y and dæ? two computations lim→∞ x2 x2 Explain to them what each of these two computation

Imagine you have a sibling, cousin, child, or friend who is taking this class in a couple years, and you are- helping them with their homework. They are having a hard time understanding the difference between the d?y and dæ? two computations lim→∞ x2 x2 Explain to them what each of these two computation

Advanced Engineering Mathematics
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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• Imagine you have a sibling, cousin, child, or friend who is taking this class in a couple years, and you are helping them with their homework. They are having a hard time understanding the difference between the d'y and da? two computations lim→∞ e2x x2 x2 Explain to them what each of these two computations are used for, and how we do each of them, and why we choose that process for each. What do they have in common, that might be contributing to the confusion here? How can you clarify the differences?
Transcribed Image Text:• Imagine you have a sibling, cousin, child, or friend who is taking this class in a couple years, and you are helping them with their homework. They are having a hard time understanding the difference between the d'y and da? two computations lim→∞ e2x x2 x2 Explain to them what each of these two computations are used for, and how we do each of them, and why we choose that process for each. What do they have in common, that might be contributing to the confusion here? How can you clarify the differences?
Expert Solution
Step 1

Considering the two expressions one by one:

limx→∞e2xx2

We shall use L-hospitals rule for this expression by double differentiation we get finally as zero.

Same we shall do for the other expression:

d2ydx2e2xx2

Therefore, the expression will find the final answer as:4e2x

There is no point in discussing about choosing the process. 

 

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