MAT1512 EXAM PACK 2025 {DETAILED QUESTIONS AND ANSWERS }

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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.




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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



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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




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