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

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

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You have entered [src] 
     / x   ___\
 lim \E *\/ x /
x->oo
lim⁡x→∞(exx)\lim_{x \to \infty}\left(e^{x} \sqrt{x}\right) 
Limit(E^x*sqrt(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
02468-8-6-4-2-10100100000
Plot the graph
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→∞(exx)=∞\lim_{x \to \infty}\left(e^{x} \sqrt{x}\right) = \infty
lim⁡x→0−(exx)=0\lim_{x \to 0^-}\left(e^{x} \sqrt{x}\right) = 0
More at x→0 from the left
lim⁡x→0+(exx)=0\lim_{x \to 0^+}\left(e^{x} \sqrt{x}\right) = 0
More at x→0 from the right
lim⁡x→1−(exx)=e\lim_{x \to 1^-}\left(e^{x} \sqrt{x}\right) = e
More at x→1 from the left
lim⁡x→1+(exx)=e\lim_{x \to 1^+}\left(e^{x} \sqrt{x}\right) = e
More at x→1 from the right
lim⁡x→−∞(exx)=0\lim_{x \to -\infty}\left(e^{x} \sqrt{x}\right) = 0
More at x→-oo
The graph
Limit of the function e^x*sqrt(x)
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