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Mathematics
Mathematics
Problem
Calculate
lim
x
→
∞
x
e
−
x
sin
x
\displaystyle\lim_{x\to\infty} x e^{-x}\sin x
x
→
∞
lim
x
e
−
x
sin
x
. a)
−
1
e
-\dfrac{1}{e}
−
e
1
b) Does not exist c)
0
0
0
d)
1
e
\dfrac{1}{e}
e
1
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