2. Consider the graph of y = f(x) for -9≤ x ≤9. y 4 2 X 8 6 4 -2 2 4 6 8 -2 -4 Evaluate each limit. If a limit is ∞ or -∞, clearly state this. If the limit does not exist and it's not ∞ or -∞, put "DNE" in the box. (a) lim→6 6 (7/2)) (b) (c) lim-4-|f(x)] Here, [x] is the largest integer less or equal to x. lim-6-f(f(x)) ☐ ☐ ☐ f(x+5) (d) lim→1 f(x-1) (2e) For which value(s) of x = (-9,9) is the function g(x) = (x+4)f(x) not continuous?
2. Consider the graph of y = f(x) for -9≤ x ≤9. y 4 2 X 8 6 4 -2 2 4 6 8 -2 -4 Evaluate each limit. If a limit is ∞ or -∞, clearly state this. If the limit does not exist and it's not ∞ or -∞, put "DNE" in the box. (a) lim→6 6 (7/2)) (b) (c) lim-4-|f(x)] Here, [x] is the largest integer less or equal to x. lim-6-f(f(x)) ☐ ☐ ☐ f(x+5) (d) lim→1 f(x-1) (2e) For which value(s) of x = (-9,9) is the function g(x) = (x+4)f(x) not continuous?
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:2. Consider the graph of y = f(x) for -9≤ x ≤9.
y
4
2
X
8
6
4
-2
2
4
6
8
-2
-4
![Evaluate each limit. If a limit is ∞ or -∞, clearly state this. If the limit does not exist and it's not
∞ or -∞, put "DNE" in the box.
(a)
lim→6
6 (7/2))
(b)
(c)
lim-4-|f(x)] Here, [x] is the largest integer less or equal to x.
lim-6-f(f(x))
☐ ☐ ☐
f(x+5)
(d)
lim→1 f(x-1)
(2e)
For which value(s) of x = (-9,9) is the function g(x) = (x+4)f(x) not continuous?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4893c46-a94c-4c81-a9fc-277ce07300a6%2F3cad96bf-5171-4af2-bf62-4fef79b0521f%2Fufrskdq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Evaluate each limit. If a limit is ∞ or -∞, clearly state this. If the limit does not exist and it's not
∞ or -∞, put "DNE" in the box.
(a)
lim→6
6 (7/2))
(b)
(c)
lim-4-|f(x)] Here, [x] is the largest integer less or equal to x.
lim-6-f(f(x))
☐ ☐ ☐
f(x+5)
(d)
lim→1 f(x-1)
(2e)
For which value(s) of x = (-9,9) is the function g(x) = (x+4)f(x) not continuous?
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