Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-4*x)^(1/x)
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Limit of (-16+x^2+6*x)/(-2-5*x+3*x^2)
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Limit of (1+x)^(2/3)-(-1+x)^(2/3)
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Limit of 1/3+x/3
- Derivative of:
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x^(x^2)
- Graphing y =:
- x^(x^2)
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Identical expressions
- x^(x^ two)
- x to the power of (x squared )
- x to the power of (x to the power of two)
- x(x2)
- xx2
- x^(x²)
- x to the power of (x to the power of 2)
- x^x^2
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Similar expressions
- (x*sinh(1/x))^(x^2)
- 15^(-x)*((3+x)/x)^(x^2)
- 2^(-x)*(x/(1+x))^(x^2)
- cos(2/x)^(x^2)
- x*(x/(1+x))^(x^2)
Limit of the function x^(x^2)
The solution
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lim x
x->oo
$$\lim_{x \to \infty} x^{x^{2}}$$
Limit(x^(x^2), 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
$$\lim_{x \to \infty} x^{x^{2}} = \infty$$
$$\lim_{x \to 0^-} x^{x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{x^{2}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{x^{2}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{x^{2}} = 0$$
More at x→-oo
$$\lim_{x \to 0^-} x^{x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} x^{x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} x^{x^{2}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} x^{x^{2}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} x^{x^{2}} = 0$$
More at x→-oo
The graph