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Mathematics
Problem
When simplifying the expression
(
x
+
h
)
3
−
x
3
h
\dfrac{(x+h)^3-x^3}{h}
h
(
x
+
h
)
3
−
x
3
, terms containing
h
2
h^2
h
2
and
h
3
h^3
h
3
do not influence the value of the limit as
h
→
0
h\to0
h
→
0
. Explain why these higher–power terms can be ignored in determining the final limit.
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