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MAT1581 ASSIGNMENT 3 2023

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Institution: University of South Africa (Unisa)
Course: MAT1581 - Mathematics I (MAT1581)

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Uploaded on: April 16, 2023
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Written in: 2022/2023
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mat1581 assignment 3 2023
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MAT1581
ASSIGNMENT 3
2023

, QUESTION 1

Solution:

1.1).

t2 + t − 6 (t + 3)(t − 2)
lim = lim
t→2 t 2 − 4t + 3 t→2 (t − 3)(t − 1)

(2 + 3)(2 − 2)
=
(2 − 3)(2 − 1)
=0

1.2).

x2 − 9 (x + 3)(x − 3)
lim = lim
x→3 x − 3 x→3 x−3
= lim(x + 3)
x→3

=3+3
=6

1.3).

√1 + 4x − 1 √1 + 4(0) − 1
lim =
x→0 3x 3(0)

√1 − 1
=
0

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