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