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4^(-x)*factorial(x)

Limit of the function 4^(-x)*factorial(x)

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     / -x   \
 lim \4  *x!/
x->oo        
$$\lim_{x \to \infty}\left(4^{- x} x!\right)$$
Limit(4^(-x)*factorial(x), x, oo, dir='-')
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Rapid solution [src]
oo
$$\infty$$
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(4^{- x} x!\right) = \infty$$
$$\lim_{x \to 0^-}\left(4^{- x} x!\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(4^{- x} x!\right) = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(4^{- x} x!\right) = \frac{1}{4}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(4^{- x} x!\right) = \frac{1}{4}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(4^{- x} x!\right) = \infty \left(-\infty\right)!$$
More at x→-oo
The graph
Limit of the function 4^(-x)*factorial(x)