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Mathematics
Mathematics
Problem
Values of three functions are given for
x
x
x
near
0
0
0
. x | −0.10 | −0.01 | 0.01 | 0.10 f(x) | 2.998 | 2.99998 | 3.00002 | 3.002 g(x) | 1.998 | 1.99998 | 2.00002 | 2.002 p(x) | 4.10 | 4.01 | 3.99 | 3.90 Estimate
lim
x
→
0
(
f
(
x
)
−
3
g
(
x
)
−
2
)
p
(
x
)
\displaystyle \lim_{x\to 0} \left(\frac{f(x)-3}{g(x)-2}\right)p(x)
x
→
0
lim
(
g
(
x
)
−
2
f
(
x
)
−
3
)
p
(
x
)
. a) 6 b) 4 c) 1 d) 2
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