Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((5+4*x)/(-1+5*x))^(1+3*x)
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Limit of 10+x^2+3*x^3+8*x
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Limit of (-16+2^x)/(-1+5*sqrt(x)*(5-x))
- Limit of x^2+a/(x^3-a^3)-x*(1+a)
- Derivative of:
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x^(2*x)
- Integral of d{x}:
- x^(2*x)
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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
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Similar expressions
- x^2*(x-pi/2)/cos(x)
- ((2+3*x)/(-4+3*x))^(2*x)
- (1-5*x)^(2*x/3)
- 3^(x^2)*x^(-x)
- e^(x^2)*x^3
Limit of the function x^(2*x)
The solution
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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
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
$$\lim_{x \to 0^-} x^{2 x} = 1$$
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
The graph