, lOMoAR cPSD| 48680473
UNIVERSITY EXAMINATIONS
September/December 2021
MAT1512
Calculus A
Examiners:
First: DR S.B. MUGISHA Second:
DR Z. ALI
100 Marks
2 Hours
Closed book and online examination, which you have to write within 2 hours and
submit online through the link: https://myexams.unisa.ac.za/portal
Use of a non-programmable pocket calculator is NOT allowed
This web based examination remains the property of the University of South Africa
and may not be distributed from the Unisa platform.
This examination allows attachment documents only as part of your submission.
Declaration: I have neither given nor received aid on this examination.
Answer All Questions and Submit within the stipulated timeframe.
Late submission will not be accepted.
This paper consists of 4 pages.
ALL CALCULATIONS MUST BE SHOWN.
Downloaded by Vincent kyalo ()
, lOMoAR cPSD| 48680473
[TURN OVER]
Open Rubric
QUESTION 1
(a) Determine the following limits (if
they exist):
6 x2
(i) lim
(3) x 2 3 x
1
x
3
(ii) lim 2
(3) x 3x 9
x
2
4
x
2
x
(iii) lim
(3)
x 2x
Downloaded by Vincent kyalo ()
, lOMoAR cPSD| 48680473
2
x
(iv) lim
(3) x 03 x 9
sint tan2t
(v) lim
(3) t 0 t
(b) Use the Squeeze Theorem
to determine the following
limit:
5k2 cos3k
l
i
m
2
.
(
4
)
k
k
1
0
x2 if x 2
(c) Let G x( ) x 2 if
x 2
Downloaded by Vincent kyalo ()
UNIVERSITY EXAMINATIONS
September/December 2021
MAT1512
Calculus A
Examiners:
First: DR S.B. MUGISHA Second:
DR Z. ALI
100 Marks
2 Hours
Closed book and online examination, which you have to write within 2 hours and
submit online through the link: https://myexams.unisa.ac.za/portal
Use of a non-programmable pocket calculator is NOT allowed
This web based examination remains the property of the University of South Africa
and may not be distributed from the Unisa platform.
This examination allows attachment documents only as part of your submission.
Declaration: I have neither given nor received aid on this examination.
Answer All Questions and Submit within the stipulated timeframe.
Late submission will not be accepted.
This paper consists of 4 pages.
ALL CALCULATIONS MUST BE SHOWN.
Downloaded by Vincent kyalo ()
, lOMoAR cPSD| 48680473
[TURN OVER]
Open Rubric
QUESTION 1
(a) Determine the following limits (if
they exist):
6 x2
(i) lim
(3) x 2 3 x
1
x
3
(ii) lim 2
(3) x 3x 9
x
2
4
x
2
x
(iii) lim
(3)
x 2x
Downloaded by Vincent kyalo ()
, lOMoAR cPSD| 48680473
2
x
(iv) lim
(3) x 03 x 9
sint tan2t
(v) lim
(3) t 0 t
(b) Use the Squeeze Theorem
to determine the following
limit:
5k2 cos3k
l
i
m
2
.
(
4
)
k
k
1
0
x2 if x 2
(c) Let G x( ) x 2 if
x 2
Downloaded by Vincent kyalo ()
