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Limit of the function/ x*a^x

Limit of the function x*a^x

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You have entered [src] 
     /   x\
 lim \x*a /
x->oo
lim⁡x→∞(axx)\lim_{x \to \infty}\left(a^{x} x\right) 
Limit(x*a^x, x, oo, dir='-')
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Other limits x→0, -oo, +oo, 1
lim⁡x→∞(axx)\lim_{x \to \infty}\left(a^{x} x\right)
lim⁡x→0−(axx)=0\lim_{x \to 0^-}\left(a^{x} x\right) = 0
More at x→0 from the left
lim⁡x→0+(axx)=0\lim_{x \to 0^+}\left(a^{x} x\right) = 0
More at x→0 from the right
lim⁡x→1−(axx)=a\lim_{x \to 1^-}\left(a^{x} x\right) = a
More at x→1 from the left
lim⁡x→1+(axx)=a\lim_{x \to 1^+}\left(a^{x} x\right) = a
More at x→1 from the right
lim⁡x→−∞(axx)\lim_{x \to -\infty}\left(a^{x} x\right)
More at x→-oo
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