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Mathematics
Problem
Evaluate
lim
x
→
∞
(
x
2
+
3
)
e
−
2
x
cos
4
x
\displaystyle \lim_{x\to\infty}(x^{2}+3)e^{-2x}\cos 4x
x
→
∞
lim
(
x
2
+
3
)
e
−
2
x
cos
4
x
. Show all the steps that justify your final answer and quote any inequalities you employ.
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