ml ml
1
,Chapter 1 ml Limits and Continuity
ml ml
1.1 Limits (An Intuitive Approach)
ml ml ml
1) The function
ml m l m l f (x) is shown in the graph:
ml ml ml ml ml ml
Find =
A) 2
B) -3
C) 3
D) -2
E) 0
Answer: m l m l B
Diff: 1ml Var: 1 ml
Section: m l m l 1.1
2
,2) Approximate the ml
by evaluating
ml m l m l f (x) =
ml ml
at x = 4.5,
ml ml ml ml 4.9, 4.99, 4.999, 5.5, 5.1, 5.01, and 5.001.
ml ml ml ml ml ml ml
A) 5
B) 2.5
C) 11
D) 10
E) 12
Answer: m l m l D
Diff: 2 ml Var: 1 ml
Section: m l m l 1.1
3) Approximate the ml m l m l by evaluating
ml m l m l f (x) =
ml ml m l m l at appropriate values of x.
ml ml ml ml
A) 1
B) 0
C) ∞
D) -∞
E) 10
Answer: m l m l C
Diff: 1 ml Var: 1 ml
Section: m l m l 1.1
4) Approximate the limit by evaluating ml ml ml ml m l m l f (x) =
ml ml m l m l at appropriate values of x.
ml ml ml ml m l =
A) 1
B) 11
C) -11
D) ∞
E) undefined
Answer:
ml m l
B
Diff: 2 Var: 1
ml ml
Section: 1.1 m l m l
3
, 5) Approximate the limit by evaluating ml ml ml ml m l m l f (x) =
ml ml m l m l at appropriate values of x.
ml ml ml ml m l m l =
A) 1
-
B)
6 C) ml ml
D) ∞
E) undefined
Answer:
ml m l
C
Diff: 2 Var: 1
ml ml
Section: 1.1 m l m l
6) Approximate the limit by evaluating ml ml ml ml m l m l f (x) =
ml ml m l m l at appropriate values of x.
ml ml ml ml
A)
B)
C)
D) 0
E) ∞ Answe ml
r: A m l
Diff: 2 Var: 1
ml ml
Section: 1.1 m l m l
7) Find the equation of the tangent line to the graph of y = 3
ml ml ml ml ml ml ml ml ml ml ml ml ml m l at (-1, -3).
ml ml
A) y = 15x + 12 ml ml ml ml
B) y = 15x ml ml
C) y = 12x ml ml
D) y = 12x + 15 ml ml ml ml
E) y = 5x + 12 ml ml ml ml
Answer: A m l m l
Diff: 3 Var: 1
ml ml
Section: 1.1 m l m l
4