12 if x < 3 x+3 Let f(x) : - 2 if x = 3 4 if x > 3 х — 5 Compute the limits and determine the function value. Write "DNE" if the limit does not exist o the value is undefined. lim f(x) = -2 x 3- lim f(æ) = -2 x 3+ f(3) -2 Since the above three quantities are all defined and equal we know that f is continuous O at x = 3. Is f continuous everywhere? If not, list all x-values for which f is discontinuous. Separate multiple answers with a comma.
12 if x < 3 x+3 Let f(x) : - 2 if x = 3 4 if x > 3 х — 5 Compute the limits and determine the function value. Write "DNE" if the limit does not exist o the value is undefined. lim f(x) = -2 x 3- lim f(æ) = -2 x 3+ f(3) -2 Since the above three quantities are all defined and equal we know that f is continuous O at x = 3. Is f continuous everywhere? If not, list all x-values for which f is discontinuous. Separate multiple answers with a comma.
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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Question
finish the last part of the question, please. check your work before submitting it. Thanks!
![12
if x < 3
x +3
Let f(x) =
2
if x =
4
if x > 3
5
Compute the limits and determine the function value. Write "DNE" if the limit does not exist or
the value is undefined.
lim
f(x) =
-2
x →3-
lim
f(2) =
x →3+
f(3) =
-2
Since the above three quantities are all defined and equal
we know that f is
continuous
O at x
= 3.
Is f continuous everywhere? If not, list all x-values for which f is discontinuous. Separate
multiple answers with a comma.
2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ccf48b4-03e7-4c65-b09a-a1219e5c41dc%2F7cb24bf3-f32c-497f-bfb2-dcbb43d9922e%2F8mcomkyu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12
if x < 3
x +3
Let f(x) =
2
if x =
4
if x > 3
5
Compute the limits and determine the function value. Write "DNE" if the limit does not exist or
the value is undefined.
lim
f(x) =
-2
x →3-
lim
f(2) =
x →3+
f(3) =
-2
Since the above three quantities are all defined and equal
we know that f is
continuous
O at x
= 3.
Is f continuous everywhere? If not, list all x-values for which f is discontinuous. Separate
multiple answers with a comma.
2]
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