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Turkey Team Selection Test
1994 Turkey Team Selection Test
2
Turkey TST 1994 - P5
Turkey TST 1994 - P5
Source:
March 13, 2011
limit
logarithms
algebra proposed
algebra
Problem Statement
Show that positive integers
n
i
,
m
i
n_i,m_i
n
i
,
m
i
(
i
=
1
,
2
,
3
,
⋯
)
(i=1,2,3, \cdots )
(
i
=
1
,
2
,
3
,
⋯
)
can be found such that
lim
i
→
∞
2
n
i
3
m
i
=
1
\mathop{\lim }\limits_{i \to \infty } \frac{2^{n_i}}{3^{m_i }} = 1
i
→
∞
lim
3
m
i
2
n
i
=
1
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