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Limit of the function:
Limit of (2+x^2+3*x)/(-4+x^2)
Limit of ((1+n)/n)^n
Limit of -1/(-3+x)+6/(-9+x^2)
Limit of (6^(2*x)-7^(-2*x))/(-2*x+sin(3*x))
Derivative of:
x^(2*x)
Integral of d{x}:
x^(2*x)
Identical expressions
x^(two *x)
x to the power of (2 multiply by x)
x to the power of (two multiply by x)
x(2*x)
x2*x
x^(2x)
x(2x)
x2x
x^2x
Similar expressions
((-1+3*x)/(-4+3*x))^(2*x)
x^2*(x-pi/2)/cos(x)
(1-5*x)^(2*x/3)
e^(x^2)*x^3
e^(x^2)*x^4

Limit of the function/ x^(2*x)

Limit of the function x^(2*x)

The solution

You have entered [src]

      2*x
 lim x   
x->oo

\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

Plot the graph

Other limits x→0, -oo, +oo, 1

\lim_{x \to \infty} x^{2 x} = \infty

\lim_{x \to 0^-} x^{2 x} = 1

More at x→0 from the left

\lim_{x \to 0^+} x^{2 x} = 1

More at x→0 from the right

\lim_{x \to 1^-} x^{2 x} = 1

More at x→1 from the left

\lim_{x \to 1^+} x^{2 x} = 1

More at x→1 from the right

\lim_{x \to -\infty} x^{2 x} = \infty

More at x→-oo

Rapid solution [src]

oo

\infty

Expand and simplify

The graph

Limit of the function x^(2*x)