7. Why was it necessary to specify that a ‡ 1 for problems 2, 3 and 4 above?
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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Transcribed Image Text:7. Why was it necessary to specify that a ‡ 1 for problems 2, 3 and 4 above?
![In a
2. lim ¹+In
x →0+
Show that
In a
3. lim ¹+
xxx
with a > 0, a ‡ 1, is an indeterminate form of type 0⁰, ∞º, 1∞ (circle one).
with a > 0, a 1, is an indeterminate form of type 00, ∞0, 1% (circle one).
In a
Show that lim x¹+nx = a.
x →∞
In a
lim x¹+¹nx = a.
x →0+
In a
x
4. lim (x+1) with a > 0,a # 1, is an indeterminate form of type 00, ∞0,1% (circle one).
x→0+
In a
Show that lim (x + 1)]
x →0+
x = a.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93724627-c7b6-406b-9a00-d0dcd2c570ce%2F463e4d40-dacf-413c-b69a-e58cf42df4d8%2Fwjl19nl_processed.png&w=3840&q=75)
Transcribed Image Text:In a
2. lim ¹+In
x →0+
Show that
In a
3. lim ¹+
xxx
with a > 0, a ‡ 1, is an indeterminate form of type 0⁰, ∞º, 1∞ (circle one).
with a > 0, a 1, is an indeterminate form of type 00, ∞0, 1% (circle one).
In a
Show that lim x¹+nx = a.
x →∞
In a
lim x¹+¹nx = a.
x →0+
In a
x
4. lim (x+1) with a > 0,a # 1, is an indeterminate form of type 00, ∞0,1% (circle one).
x→0+
In a
Show that lim (x + 1)]
x →0+
x = a.
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