AP Calculus BC Quiz
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CONTEXTUAL APPLICATIONS OF DIFFERENTIATION
Question 1
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Evaluate
lim
x
→
0
arctan
(
3
x
)
x
\displaystyle\lim_{x\to 0}\dfrac{\arctan(3x)}{x}
x
→
0
lim
x
arctan
(
3
x
)
for a small-angle inverse tangent model.
A
1
3
\dfrac{1}{3}
3
1
B
0
0
0
C
3
3
3
D
π
\pi
π
E
1
1
1
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