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e^x*cos(x)
Limit of the function/ e^x*cos(x)

Limit of the function e^x*cos(x)

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      / x       \
 lim  \E *cos(x)/
x->-oo
lim⁡x→−∞(excos⁡(x))\lim_{x \to -\infty}\left(e^{x} \cos{\left(x \right)}\right) 
Limit(E^x*cos(x), x, -oo)
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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Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→−∞(excos⁡(x))=0\lim_{x \to -\infty}\left(e^{x} \cos{\left(x \right)}\right) = 0
lim⁡x→∞(excos⁡(x))=⟨−∞,∞⟩\lim_{x \to \infty}\left(e^{x} \cos{\left(x \right)}\right) = \left\langle -\infty, \infty\right\rangle
More at x→oo
lim⁡x→0−(excos⁡(x))=1\lim_{x \to 0^-}\left(e^{x} \cos{\left(x \right)}\right) = 1
More at x→0 from the left
lim⁡x→0+(excos⁡(x))=1\lim_{x \to 0^+}\left(e^{x} \cos{\left(x \right)}\right) = 1
More at x→0 from the right
lim⁡x→1−(excos⁡(x))=ecos⁡(1)\lim_{x \to 1^-}\left(e^{x} \cos{\left(x \right)}\right) = e \cos{\left(1 \right)}
More at x→1 from the left
lim⁡x→1+(excos⁡(x))=ecos⁡(1)\lim_{x \to 1^+}\left(e^{x} \cos{\left(x \right)}\right) = e \cos{\left(1 \right)}
More at x→1 from the right
The graph
Limit of the function e^x*cos(x)
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