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e^(-x)*sin(2*x)
Limit of the function/ e^(-x)*sin(2*x)

Limit of the function e^(-x)*sin(2*x)

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     / -x         \
 lim \E  *sin(2*x)/
x->oo
lim⁡x→∞(e−xsin⁡(2x))\lim_{x \to \infty}\left(e^{- x} \sin{\left(2 x \right)}\right) 
Limit(E^(-x)*sin(2*x), x, oo, dir='-')
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
02468-8-6-4-2-1010-2000020000
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Rapid solution [src] 
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Other limits x→0, -oo, +oo, 1
lim⁡x→∞(e−xsin⁡(2x))=0\lim_{x \to \infty}\left(e^{- x} \sin{\left(2 x \right)}\right) = 0
lim⁡x→0−(e−xsin⁡(2x))=0\lim_{x \to 0^-}\left(e^{- x} \sin{\left(2 x \right)}\right) = 0
More at x→0 from the left
lim⁡x→0+(e−xsin⁡(2x))=0\lim_{x \to 0^+}\left(e^{- x} \sin{\left(2 x \right)}\right) = 0
More at x→0 from the right
lim⁡x→1−(e−xsin⁡(2x))=sin⁡(2)e\lim_{x \to 1^-}\left(e^{- x} \sin{\left(2 x \right)}\right) = \frac{\sin{\left(2 \right)}}{e}
More at x→1 from the left
lim⁡x→1+(e−xsin⁡(2x))=sin⁡(2)e\lim_{x \to 1^+}\left(e^{- x} \sin{\left(2 x \right)}\right) = \frac{\sin{\left(2 \right)}}{e}
More at x→1 from the right
lim⁡x→−∞(e−xsin⁡(2x))=⟨−∞,∞⟩\lim_{x \to -\infty}\left(e^{- x} \sin{\left(2 x \right)}\right) = \left\langle -\infty, \infty\right\rangle
More at x→-oo
The graph
Limit of the function e^(-x)*sin(2*x)
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