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MAT1613 ASSIGNMENT 1 2022

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This document contains MAT1613 ASSIGNMENT 1 2022 solutions. Clear step by step calculations and explanations are provided.

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University Of South Africa (Unisa)
Course
MAT1613 - Calculus B (MAT1613)









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Institution
University of South Africa (Unisa)
Course
MAT1613 - Calculus B (MAT1613)
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Uploaded on
April 21, 2022
Number of pages
12
Written in
2022/2023
Type
Other
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Subjects

  • mat1613
  • calculus b
  • mat1613 assignment 1
  • gimmenotes
  • stuvia

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MAT1613
ASSIGNMENT 1
2022

, QUESTION 1




Solution:



a).

𝐻𝑜𝑟𝑖𝑧𝑜𝑛𝑡𝑎𝑙 𝑎𝑠𝑦𝑚𝑝𝑡𝑜𝑡𝑒𝑠:

𝑥2
𝑦 = lim
𝑥→∞ (−2𝑥 + 1)2

𝑥2
= lim
𝑥→∞ (−2𝑥 + 1)(−2𝑥 + 1)

𝑥2
= lim
𝑥→∞ 4𝑥 2 − 4𝑥 + 1

𝑥2
= lim
𝑥→∞ 2 4 1
𝑥 (4 − + 2 )
𝑥 𝑥
1
= lim
𝑥→∞ 4 1
(4 − 𝑥 + 2 )
𝑥
1
=
(4 − 0 + 0)
1
=
4


𝟏
𝑯𝒐𝒓𝒊𝒛𝒐𝒏𝒕𝒂𝒍 𝒂𝒔𝒚𝒎𝒑𝒕𝒐𝒕𝒆𝒔: 𝒚 =
𝟒
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