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Mathematics
Problem
In the limit expression
lim
N
→
∞
∑
i
=
1
N
f
(
x
i
∗
)
Δ
x
\displaystyle \lim_{N\to\infty}\sum_{i=1}^{N} f(x_i^*)\,\Delta x
N
→
∞
lim
i
=
1
∑
N
f
(
x
i
∗
)
Δ
x
that defines a definite integral, what does the factor
Δ
x
\Delta x
Δ
x
represent?
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