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1947 Moscow Mathematical Olympiad
131
MMO 131 Moscow MO 1947 product (1-1/10)(1-1/10^2)...(1-1/10^99)
MMO 131 Moscow MO 1947 product (1-1/10)(1-1/10^2)...(1-1/10^99)
Source:
July 20, 2019
algebra
Product
Problem Statement
Calculate (without calculators, tables, etc.) with accuracy to
0.00001
0.00001
0.00001
the product
(
1
−
1
10
)
(
1
−
1
1
0
2
)
.
.
.
(
1
−
1
1
0
99
)
\left(1-\frac{1}{10}\right)\left(1-\frac{1}{10^2}\right)...\left(1-\frac{1}{10^{99}}\right)
(
1
−
10
1
)
(
1
−
1
0
2
1
)
...
(
1
−
1
0
99
1
)
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