MAT1512PACK2023 Study guides, Class notes & Summaries
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MAT1512EXAM PACK2024 LATESTQUESTIONS ANDANSWERS
- Exam (elaborations) • 83 pages • 2024
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- $12.49
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(a)Determinethefollowinglimits(if they exist): 
x03x9 
x 
2 
x 
 
(i)(3) 
(ii) 
x2 
lim 
3x1 
2 
(3) 
x3 x9 
(iii) 
(iv) 
lim 
x2x 
lim1x 
(3) 
(3) 
(v) 
x1 
lim 
1x 
2x 
(3) 
(vi)limsinttan2t 
(3) 
t0t 
(b)Use theSqueezeTheoremtodeterminethefolowinglimit: 
5k 
2 
cos3k 
lim2 
.(3) 
x2if 
(c)LetG(x) 
x2if 
x2 
x2 
kk 10 
x2 
QUESTION 2 
(a)Bythefirst principlesof differentiation, findthederivative offx2x 
2...
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