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e^x*x^3

Limit of the function e^x*x^3

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     / x  3\
 lim \E *x /
x->oo       
limx(exx3)\lim_{x \to \infty}\left(e^{x} x^{3}\right)
Limit(E^x*x^3, 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
02468-8-6-4-2-1010-2500000025000000
Other limits x→0, -oo, +oo, 1
limx(exx3)=\lim_{x \to \infty}\left(e^{x} x^{3}\right) = \infty
limx0(exx3)=0\lim_{x \to 0^-}\left(e^{x} x^{3}\right) = 0
More at x→0 from the left
limx0+(exx3)=0\lim_{x \to 0^+}\left(e^{x} x^{3}\right) = 0
More at x→0 from the right
limx1(exx3)=e\lim_{x \to 1^-}\left(e^{x} x^{3}\right) = e
More at x→1 from the left
limx1+(exx3)=e\lim_{x \to 1^+}\left(e^{x} x^{3}\right) = e
More at x→1 from the right
limx(exx3)=0\lim_{x \to -\infty}\left(e^{x} x^{3}\right) = 0
More at x→-oo
Rapid solution [src]
oo
\infty
The graph
Limit of the function e^x*x^3