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Jozsef Wildt International Math Competition
2019 Jozsef Wildt International Math Competition
W. 37
Find the limit of this expression
Find the limit of this expression
Source: 2019 Jozsef Wildt International Math Competition-W. 37
May 19, 2020
limit
Product
Problem Statement
For real
a
>
1
a > 1
a
>
1
find
lim
n
→
∞
∏
k
=
2
n
(
a
−
a
1
k
)
n
\lim \limits_{n \to \infty}\sqrt[n]{\prod \limits_{k=2}^n \left(a-a^{\frac{1}{k}}\right)}
n
→
∞
lim
n
k
=
2
∏
n
(
a
−
a
k
1
)
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