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Mathematics
Mathematics
Problem
Prove that
lim
x
→
∞
(
x
3
e
−
x
+
5
x
e
2
x
)
=
0
\displaystyle\lim_{x \to \infty} \left( x^{3} e^{-x} + \frac{5x}{e^{2x}} \right) = 0
x
→
∞
lim
(
x
3
e
−
x
+
e
2
x
5
x
)
=
0
.
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