hw05S2.5-6
Explain why the function is discontinuous at the given number
a
.
.
f
(
x
)
=
$$
e
1
f
(
x
)
=
$$1
lim
x
→
1
−
lim
x
→
1
+
f
(
x
)
lim
x
→
1

Page 6 of 19
Sketch the graph of the function.

12/14/16, 4(14 PM
hw05S2.5-6
1
.
e
1
1
→

Page 7 of 19

5.
2/2 points |
Previous Answers
SCalcET7 2.5.036.
Use continuity to evaluate the limit.
0
0
Solution or Explanation
Click to View Solution
6.
6/6 points |
Previous Answers
SCalcET7 2.5.041.
Find the
x
-value at which
f
is discontinuous and determine whether
f
is continuous from the right, or from the left, or neither.
0
2
sin(
x
+ sin
x
)
lim
x
→
π
f
(
x
) =
2
+
x
2
if
x
≤
0
9
9

12/14/16, 4(14 PM
hw05S2.5-6
Page 8 of 19
Sketch the graph of
f
continuous from the right
continuous from the left
neither
.

12/14/16, 4(14 PM
hw05S2.5-6
and
f
is
≤
0
9
9
2
lim
lim
,

Page 9 of 19

12/14/16, 4(14 PM
hw05S2.5-6
7.
2/2 points |
Previous Answers
SCalcET7 2.5.044.
The gravitational force exerted by the planet Earth on a unit mass at a distance
r
from the center of the planet is
where
M
is the mass of Earth,
R
is its radius, and
G
is the gravitational constant. Is
F
a continuous function of
r
?
R
R
.
r

Page 10 of 19
Solution or Explanation
Click to View Solution

12/14/16, 4(14 PM
hw05S2.5-6
Page 11 of 19