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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
a
x
3
−
a
3
−
3
a
(
x
−
a
)
x
x
2
−
2
a
x
+
a
2
\displaystyle \lim_{x\to a}\frac{x^{3}-a^{3}-3a(x-a)x}{x^{2}-2ax+a^{2}}
x
→
a
lim
x
2
−
2
a
x
+
a
2
x
3
−
a
3
−
3
a
(
x
−
a
)
x
, where
a
≠
0
a\neq 0
a
=
0
is a constant.
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