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Putnam
Putnam 1938
A5
Putnam 1938 A5
Putnam 1938 A5
Source:
August 20, 2021
Putnam
Problem Statement
(
1
)
(1)
(
1
)
Find
lim
x
→
∞
x
2
e
x
\lim_{x \to \infty} \frac{x^2}{e^x}
lim
x
→
∞
e
x
x
2
(
2
)
(2)
(
2
)
Find
lim
k
→
0
1
k
∫
0
k
(
1
+
sin
2
x
)
1
x
d
x
\lim_{k \to 0} \frac{1}{k} \int_{0}^{k} (1 + \sin 2x)^{\frac{1}{x}} dx
lim
k
→
0
k
1
∫
0
k
(
1
+
sin
2
x
)
x
1
d
x
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