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Contests
National and Regional Contests
Russia Contests
Moscow Mathematical Olympiad
1947 Moscow Mathematical Olympiad
131
131
Part of
1947 Moscow Mathematical Olympiad
Problems
(1)
MMO 131 Moscow MO 1947 product (1-1/10)(1-1/10^2)...(1-1/10^99)
Source:
7/20/2019
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
)
algebra
Product