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Mathematics
Mathematics
Problem
Let
F
(
x
)
=
(
e
−
x
sin
x
)
2
+
sin
x
x
F(x)=\left(e^{-x}\sin x\right)^2+\dfrac{\sin x}{x}
F
(
x
)
=
(
e
−
x
sin
x
)
2
+
x
sin
x
. Evaluate
lim
x
→
∞
x
F
(
x
)
\displaystyle\lim_{x\to\infty} xF(x)
x
→
∞
lim
x
F
(
x
)
. a) 0 b) 1 c) Does not exist d)
∞
\infty
∞
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