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Mathematics
Mathematics
Problem
Define
S
n
S_n
S
n
to be the left-endpoint Riemann sum with
n
n
n
equal subintervals for
∫
0
1
x
3
d
x
\displaystyle \int_{0}^{1} x^{3}\,dx
∫
0
1
x
3
d
x
. Evaluate
lim
n
→
∞
S
n
\displaystyle \lim_{n\to\infty} S_n
n
→
∞
lim
S
n
.
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