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Mathematics
Mathematics
Problem
Determine, with clear reasoning, the limit
lim
x
→
∞
2
x
2
cos
(
4
x
)
−
5
x
x
3
+
sin
x
.
\lim_{x\to\infty}\frac{2x^{2}\cos(4x)-5x}{x^{3}+\sin x}.
x
→
∞
lim
x
3
+
sin
x
2
x
2
cos
(
4
x
)
−
5
x
.
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