Section 1: K/U Multiple Choice: [5 Marks] 1. The lim x->4-7 a) 4 - 2. The lim x-4+ √x² – 16 a) 0 b)-7 c) 0 d) Does Not Exist b) 4 c) 16 d) Does Not Exist 3. The limx-0- x x-7 a) 0 b) infinity c) -7 d) Does Not Exist 4. The lim x-5 x-6 2x-5 a) 5 b) -1 c) -5 d) Does Not Exist 5. For what values of x will the function, f(x) = a) -6,0 b) -6, -3,0 x-3 x3+3x²-18x c) -6,0,3 be discontinuous? d) -3, 0, 6 True or False: [4 Marks] 6. If the limit exists at x = a then the function is continuous at x = a. 7. A removable discontinuity is the only discontinuity in which the limit exists. 8. A cusp is not a discontinuity but does result in the derivative not existing. 9. The reason we use the limit as h→0 to find the slope is because A x →0
Section 1: K/U Multiple Choice: [5 Marks] 1. The lim x->4-7 a) 4 - 2. The lim x-4+ √x² – 16 a) 0 b)-7 c) 0 d) Does Not Exist b) 4 c) 16 d) Does Not Exist 3. The limx-0- x x-7 a) 0 b) infinity c) -7 d) Does Not Exist 4. The lim x-5 x-6 2x-5 a) 5 b) -1 c) -5 d) Does Not Exist 5. For what values of x will the function, f(x) = a) -6,0 b) -6, -3,0 x-3 x3+3x²-18x c) -6,0,3 be discontinuous? d) -3, 0, 6 True or False: [4 Marks] 6. If the limit exists at x = a then the function is continuous at x = a. 7. A removable discontinuity is the only discontinuity in which the limit exists. 8. A cusp is not a discontinuity but does result in the derivative not existing. 9. The reason we use the limit as h→0 to find the slope is because A x →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
![Section 1: K/U
Multiple Choice: [5 Marks]
1. The lim x->4-7
a) 4
-
2. The lim x-4+ √x² – 16
a) 0
b)-7
c) 0
d) Does Not Exist
b) 4
c) 16
d) Does Not Exist
3. The limx-0- x
x-7
a) 0
b) infinity
c) -7
d) Does Not Exist
4. The lim x-5 x-6
2x-5
a) 5
b) -1
c) -5
d) Does Not Exist
5. For what values of x will the function, f(x) =
a) -6,0
b) -6, -3,0
x-3
x3+3x²-18x
c) -6,0,3
be discontinuous?
d) -3, 0, 6
True or False: [4 Marks]
6. If the limit exists at x = a then the function is continuous at x = a.
7. A removable discontinuity is the only discontinuity in which the limit exists.
8. A cusp is not a discontinuity but does result in the derivative not existing.
9. The reason we use the limit as h→0 to find the slope is because A x →0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4337948-effb-45d0-bb21-bfe8c3a912e1%2F4b1909c6-981e-4784-88c1-389520622df0%2Fl1hyy2uj_processed.png&w=3840&q=75)
Transcribed Image Text:Section 1: K/U
Multiple Choice: [5 Marks]
1. The lim x->4-7
a) 4
-
2. The lim x-4+ √x² – 16
a) 0
b)-7
c) 0
d) Does Not Exist
b) 4
c) 16
d) Does Not Exist
3. The limx-0- x
x-7
a) 0
b) infinity
c) -7
d) Does Not Exist
4. The lim x-5 x-6
2x-5
a) 5
b) -1
c) -5
d) Does Not Exist
5. For what values of x will the function, f(x) =
a) -6,0
b) -6, -3,0
x-3
x3+3x²-18x
c) -6,0,3
be discontinuous?
d) -3, 0, 6
True or False: [4 Marks]
6. If the limit exists at x = a then the function is continuous at x = a.
7. A removable discontinuity is the only discontinuity in which the limit exists.
8. A cusp is not a discontinuity but does result in the derivative not existing.
9. The reason we use the limit as h→0 to find the slope is because A x →0
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