m 4. , using the following steps. In(x) xxx0.01 Compute lim In(x) xxx100 We want to obtain the limit lim Compute lim In x xxxm " > In(x) In(. Do you think the result would change for lim lim x→∞ X xx x0.00 What do your answers to (a) through (c) hint about the relativ dxm, m > 0, as x grows very large? Explain in words, and de > 0.
m 4. , using the following steps. In(x) xxx0.01 Compute lim In(x) xxx100 We want to obtain the limit lim Compute lim In x xxxm " > In(x) In(. Do you think the result would change for lim lim x→∞ X xx x0.00 What do your answers to (a) through (c) hint about the relativ dxm, m > 0, as x grows very large? Explain in words, and de > 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:Problem 4.
number, using the following steps.
In(x)
xxx0.01.
In(x)
xxx100
(a) Compute lim
In x
We want to obtain the limit lim
"
xx xm
(b) Compute lim
(c) Do you think the result would change for lim
where m is a positive
9
In(x)
In(x)
lim
X→∞ X xxx0.00001
xxx100000
(d) What do your answers to (a) through (c) hint about the relative rates of growth of In(x)
In x
In(x)
or lim
-?
and xm, m > 0, as a grows very large? Explain in words, and deduce the value lim for
m > 0.
xx xm
Expert Solution

Step 1p
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

