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Precalculus Examples
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Precalculus
Find the Asymptotes f(x) = natural log of x+3
f
(
x
)
=
ln
(
x
+
3
)
f
(
x
)
=
ln
(
x
+
3
)
Step 1
Set
the
argument
of the logarithm equal to
zero
.
x
+
3
=
0
x
+
3
=
0
Step 2
Subtract
3
3
from both sides of the
equation
.
x
=
−
3
x
=
-
3
Step 3
The
vertical
asymptote
occurs at
x
=
−
3
x
=
-
3
.
Vertical
Asymptote
:
x
=
−
3
x
=
-
3
Step 4
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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