Fx 4x 2 4 for x 0 4 a does not exist b 64 c 32 d 36

207) f(x) = 4x
2
+ 4 for x
0
= 4
A) Does not exist B) 64 C) 32 D) 36
207)
Find the limit, if it exists.
208) lim
x
¬
0
x
3
+ 12x
2
- 5x
5x
A) -1 B) 0 C) Does not exist D) 5
208)
48

Find the limit using lim
x=0
sinx
x
= 1.
209) lim
x¬0
tan4x
x
209)
Solve the problem.
215) Given f(x) = 6x
2
, L =6, x
0
= 1, and e = 0.3, find the greatest value for d > 0 such that 0 < x - x
0
<
the inequality f(x
0
- L < e holds.
215) d Ò
Find the limit, if it exists.
Evaluate lim
h¬0
f(x
0
+ h) - f(x
0
)
h
for the given x
0
and function f.
lim
x ¬ -3
x
2
+ 4x + 3
x + 3
216)
210) f(x) =
4
+ 8 for x
0
= 8 210)
x
216) lim
x ¬ -3
x
2
+ 4x + 3
x + 3
216)
A) -5 B) 0 C) Does not exist D) 5
Find the average rate of change of the function over the given interval.
217) lim
x¬0
( x
2
- 5) 217)
211) y = 6x
3
+ 8x
2
+ 5, [-3, -1]
2
211)
Find all points where the function is discontinuous.
218) 218)
Use the graph to estimate the specified limit.
212) lim
x¬(-1)
-
f(x) and lim
x¬(-1)
+
f(x)
x
y
x -4 -2 2 4
y
4
2
212)
A) x = 4 B) x = 4, x = 2 C) x = 2 D) None
Find a simple basic function as a right-end behavior model and a simple basic function as a left-end behavior model.
-2
-4
-6
-8
A) -2; -7 B) -7; -5 C) -7; -2 D) -5; -2
Find the limit.
213) lim
x¬0
1
x
2/3
213)
d d
6
5
4
3
2
1
Find the limit using lim
x=0
sinx
x
= 1.
214) lim
x¬0
6x
2
(cot3x)(csc2x)
A) Does not exist B) 1/2 C) 1 D) 1/3
214)
49
t -6 -5 -4 -3 -2 -1
(1, -5)
t -6 -5 -4 -3 -2 -1 1 2 3 4 5 6
-1
-2
-3
-4
-5
-6
(1, -5)
Is f continuous at f(1)?
A) Yes B) No
50
Find the limit, if it exists.
221) lim
x¬ «
3x + 1
8x - 7
221)
Use the graph to estimate the specified limit.
226) lim
x¬0
f(x)
y y
4
3
226)
Find the intervals on which the function is continuous.
222) y =
sin 4( q
5 q
A) (- « , 0), (0, « ) B) (- « , « ) C) - « ,
p
2
,
p
2
, « D) (- « , p ), ( p
222)
Find the average rate of change of the function over the given interval.
223) y =
x - 2
, [4, 7] 223)
1
-1
-2
-3
-4
)
, « )
3
x
-5 -4 -3 -2 -1
x
-5 -4 -3 -2 -1 1 2 3 4 5
2
A) Does not exist B) 0 C) 1 D) -1
Find a simple basic function as a right-end behavior model and a simple basic function as a left-end behavior model.
227) y = e
x
- 2x 227)
Find the limit, if it exists.
224) lim
x ¬ 3
x
2
- 9
x
2
- 8x + 15
224)
A) y = e
x
; y = -2x B) y = e
-x
; y = 2x C) y = -e
x
; y = -2x D) y = -e
-x
; y = 2x
Find the average rate of change of the function over the given interval.
A) - 3 B) -
3
2
C) Does not exist D) 0
Find all points where the function is discontinuous.
225)
A) x = -2, x = 0, x = 2 B) x = -2, x = 2
C) None D) x = 0
225)
51