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MAT1581 Assignment 03 (Accurate Solutions) Due 5 August 202

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Course Mathematics I
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MAT1581

Assignment 03

Due 5 August 2025

, MAT1581 Assignment 03 — Due: Tuesday, 5 August 2025




MAT1581 Assignment 03
Due Date: Tuesday, 5 August 2025


Question 1: Limits (6 Marks)
Problem (1.1)
Determine:
x3 − 2
lim
x→−1 x4 + 4x − 3


Step 1: Substitute x = −1

x3 − 2 = (−1)3 − 2 = −1 − 2 = −3

x4 + 4x − 3 = (−1)4 + 4(−1) − 3 = 1 − 4 − 3 = −6

Step 2: Evaluate since denominator ̸= 0

x3 − 2 −3 1
lim 4
= =
x→−1 x + 4x − 3 −6 2

Final Answer:
x3 − 2 1
lim
4
=
x→−1 x + 4x − 3 2

—




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Robert Davison, Robert Davison Mathematics for Engineers
Publisher: Unknown ISBN: 9781292253695 Edition: Unknown

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