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x^(2*x)

Limit of the function x^(2*x)

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The solution

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      2*x
 lim x   
x->oo    
limxx2x\lim_{x \to \infty} x^{2 x}
Limit(x^(2*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
02468-8-6-4-2-10100200000000000000000000
Other limits x→0, -oo, +oo, 1
limxx2x=\lim_{x \to \infty} x^{2 x} = \infty
limx0x2x=1\lim_{x \to 0^-} x^{2 x} = 1
More at x→0 from the left
limx0+x2x=1\lim_{x \to 0^+} x^{2 x} = 1
More at x→0 from the right
limx1x2x=1\lim_{x \to 1^-} x^{2 x} = 1
More at x→1 from the left
limx1+x2x=1\lim_{x \to 1^+} x^{2 x} = 1
More at x→1 from the right
limxx2x=\lim_{x \to -\infty} x^{2 x} = \infty
More at x→-oo
Rapid solution [src]
oo
\infty
The graph
Limit of the function x^(2*x)