Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+x)/log(x)
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Limit of (-tan(x)+sin(x))/x^3
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Limit of 7-2*x
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Limit of ((4+3*x)/(-2+3*x))^(-7+5*x)
- Integral of d{x}:
- x^y
- Equation:
- x^y
- Canonical form:
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x^y
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Identical expressions
- x^y
- x to the power of y
- xy
Limit of the function x^y
The solution
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
One‐sided limits
[src]
y lim x y->0+
$$\lim_{y \to 0^+} x^{y}$$
1
$$1$$
y lim x y->0-
$$\lim_{y \to 0^-} x^{y}$$
1
$$1$$
1
Other limits y→0, -oo, +oo, 1
$$\lim_{y \to 0^-} x^{y} = 1$$
More at y→0 from the left
$$\lim_{y \to 0^+} x^{y} = 1$$
$$\lim_{y \to \infty} x^{y}$$
More at y→oo
$$\lim_{y \to 1^-} x^{y} = x$$
More at y→1 from the left
$$\lim_{y \to 1^+} x^{y} = x$$
More at y→1 from the right
$$\lim_{y \to -\infty} x^{y}$$
More at y→-oo
More at y→0 from the left
$$\lim_{y \to 0^+} x^{y} = 1$$
$$\lim_{y \to \infty} x^{y}$$
More at y→oo
$$\lim_{y \to 1^-} x^{y} = x$$
More at y→1 from the left
$$\lim_{y \to 1^+} x^{y} = x$$
More at y→1 from the right
$$\lim_{y \to -\infty} x^{y}$$
More at y→-oo