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Introduction to Limits
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Problem 1
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Introduction to Limits
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1. Limits and Continuity / Introduction to Limits / Problem 1
Problem 1
Consider the quadratic function
f
(
x
)
=
−
4
x
2
+
32
x
f\left(x\right)=-4x^2+32x
f
(
x
)
=
−
4
x
2
+
32
x
. Calculate the slopes of the secant lines between the points
(
x
,
f
(
x
)
)
\left(x,f\left(x\right)\right)
(
x
,
f
(
x
)
)
and
(
4
,
f
(
4
)
)
\left(4,f\left(4\right)\right)
(
4
,
f
(
4
)
)
, for
x
=
3.5
,
3.9
,
3.99
,
3.999
x=3.5,3.9,3.99,3.999
x
=
3.5
,
3.9
,
3.99
,
3.999
.
A
2, 0.4, 0.04, 0.004
B
6, 0.3, 0.03, 0.003
C
10, 0.5, 0.05, 0.005
D
12, 0.8, 0.06, 0.003
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