III Find the limits of (use L' Hospital's Rule or limit of sinu/u as u→0. 3 x' - 13 x + 12 1) lim x' - 14 x + 15 | 1- /3 4 - x - X 2) lim x→ 2 4x2 3) lim 1 2 cos (x / 2) 2 x + 4x 4) lim sin 2x

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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College Calculus 

III Find the limits of (use L' Hospital's Rule or limit of sinu/u as u→0.
3
x* - 13 x + 12
1) lim
х3 — 14х +15
|
1- /3
4 - x
- X
2) lim
2
x→ 2
4x2
3) lim
1
2
cos (x / 2)
2
x' + 4x
4) lim
sin 2x
Transcribed Image Text:III Find the limits of (use L' Hospital's Rule or limit of sinu/u as u→0. 3 x* - 13 x + 12 1) lim х3 — 14х +15 | 1- /3 4 - x - X 2) lim 2 x→ 2 4x2 3) lim 1 2 cos (x / 2) 2 x' + 4x 4) lim sin 2x
I Solve the following as required :
1. Given : y = x³ – 4x? + 4x , find:
a) the maximum point
b) the minimum function value
– show the test (SDT or FDT) -
2. If y=3x – 15x* + 20x³ + 3, give the value/s of x at point of inflection.
-show the point of inflection test (TDT or SDT)-
Transcribed Image Text:I Solve the following as required : 1. Given : y = x³ – 4x? + 4x , find: a) the maximum point b) the minimum function value – show the test (SDT or FDT) - 2. If y=3x – 15x* + 20x³ + 3, give the value/s of x at point of inflection. -show the point of inflection test (TDT or SDT)-
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