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Limits and Rates of Change Review Flashcards | StudBud

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Limits and Rates of Change Review

21 terms·StudBud Administration·128 plays

IB Math SL 2/AP Calculus AB Unit 1 Review #limits #derivatives #calculus

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Questions 21

Answers

1
Select the answer that is NOT true.
f(-1) = 3
f is differentiable at x = -1.
f is continuous at x = -1.
f has a vertical asymptote at x = 0.
2
Find the limit.
3/2
∞
-∞
6
3
Choose the correct answer.
A) I only
I, II, and III
B) II only
C) I and II only
4
Find the limit.
2
0
1
DNE
5
Use the limit definition of the derivative to differentiate y = √x.
dy/dx = 2x1/2
dy/dx = x1/2
dy/dx = 2x-1/2
dy/dx = 1/2x-1/2
6
Evaluate the limit.
∞
-1/4
DNE
0
7
Find the limit.
0
DNE
-1
1
8
Find the value of a.
1
-24
26
-14
9
Which of the following could be the value of k?
5
2
3.2
-3
10
Select the correct answer.
A
C
B
D
11
Evaluate the limit
1/4
Does not exist
1/2
1
12
Find the limit.
+∞
0
-∞
1
13
Find the limit.
1
-1
0
DNE
14
Find the limit.
0
5
-∞
DNE
15
Find f'(8).
80/3
10
40/3
40
16
Find the equation of the tangent line:
y - 45 = 66(x - 3)
y + 45 = -66(x - 3)
y - 45 = -66(x - 3)
y + 45 = 66(x - 3)
17
Find the limit.
1
-1
DNE
0
18
Find the limit.
4
3
∞
DNE
19
Find the limit.
3
4
1/4
DNE
20
Find the limit.
1
0
∞
DNE
21
Evaluate the limit.
DNE
12
6
0