17. continued
lim
h
→
0
1
}
f
(2
1
h
h
)
2
f
(2)
}
5
lim
h
→
0
1
5
lim
h
→
0
1
}
[4
2
(2
4
1
h
h
)]
2
2
}
5
lim
h
→
0
1
}
2
4
h
h
}
52
}
1
4
}
Yes. The slope is
2
}
1
4
}
.
18.
No. The function is discontinuous at
x
5
}
3
4
p
}
because
lim
x
→
(3
p
/4)
2
f
(
x
)
5
lim
x
→
(3
p
/4)
2
sin
x
5
sin
}
3
4
p
}
5
}
ˇ
2
2
w
}
but
f
1
}
3
4
p
}
2
5
cos
}
3
4
p
}
5 2
}
ˇ
2
2
w
}
.
19. (a)
lim
h
→
0
}
f
(
a
1
h
h
)
2
f
(
a
)
}
5
lim
h
→
0
5
lim
h
→
0
5
lim
h
→
0
}
2
ah
1
h
h
2
}
5
lim
h
→
0
(2
a
1
h
)
5
2
a
(b)
The slope of the tangent steadily increases as
a
increases.
20. (a)
lim
h
→
0
}
f
(
a
1
h
h
)
2
f
(
a
)
}
5
lim
h
→
0
5
lim
h
→
0
}
2
a
a
2
h
(
a
2(
1
a
1
h
)
h
)
}
5
lim
h
→
0
}
a
(
a
2
1
2
h
)
}
5 2
}
a
2
2
}
(b)
The slope of the tangent is always negative. The
tangents are very steep near
x
5
0 and nearly
horizontal as
a
moves away from the origin.
21. (a)
lim
h
→
0
}
f
(
a
1
h
h
)
2
f
(
a
)
}
5
lim
h
→
0
5
lim
h
→
0
5
lim
h
→
0
2
5 2
}
(
a
2
1
1)
2
}
(b)
The slope of the tangent is always negative. The
tangents are very steep near
x
5
1 and nearly
horizontal as
a
moves away from the origin.
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 Spring '08
 GERMAN
 Slope, lim, Inch, Square inch, 60 ft

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