Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((-1+x)/x)^(5*x)
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Limit of exp(-x)
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Limit of -11
- Limit of x^2*y^2
- x^2*y^2
- Integral of d{x}:
- x^2*y^2
- The double integral of:
- x^2*y^2
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Identical expressions
- x^ two *y^ two
- x squared multiply by y squared
- x to the power of two multiply by y to the power of two
- x2*y2
- x²*y²
- x to the power of 2*y to the power of 2
- x^2y^2
- x2y2
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Similar expressions
- 2*y^4+x*y^3-3*x^2*y^2
- x*y/(1+x^2*y^2)
- x^2*y^2/(x^2+10*y^2)
Limit of the function x^2*y^2
The solution
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/ 2 2\ lim \x *y / y->3+
$$\lim_{y \to 3^+}\left(x^{2} y^{2}\right)$$
Limit(x^2*y^2, y, 3)
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]
/ 2 2\ lim \x *y / y->3+
$$\lim_{y \to 3^+}\left(x^{2} y^{2}\right)$$
2 9*x
$$9 x^{2}$$
/ 2 2\ lim \x *y / y->3-
$$\lim_{y \to 3^-}\left(x^{2} y^{2}\right)$$
2 9*x
$$9 x^{2}$$
9*x^2
Other limits y→0, -oo, +oo, 1
$$\lim_{y \to 3^-}\left(x^{2} y^{2}\right) = 9 x^{2}$$
More at y→3 from the left
$$\lim_{y \to 3^+}\left(x^{2} y^{2}\right) = 9 x^{2}$$
$$\lim_{y \to \infty}\left(x^{2} y^{2}\right) = \infty \operatorname{sign}{\left(x^{2} \right)}$$
More at y→oo
$$\lim_{y \to 0^-}\left(x^{2} y^{2}\right) = 0$$
More at y→0 from the left
$$\lim_{y \to 0^+}\left(x^{2} y^{2}\right) = 0$$
More at y→0 from the right
$$\lim_{y \to 1^-}\left(x^{2} y^{2}\right) = x^{2}$$
More at y→1 from the left
$$\lim_{y \to 1^+}\left(x^{2} y^{2}\right) = x^{2}$$
More at y→1 from the right
$$\lim_{y \to -\infty}\left(x^{2} y^{2}\right) = \infty \operatorname{sign}{\left(x^{2} \right)}$$
More at y→-oo
More at y→3 from the left
$$\lim_{y \to 3^+}\left(x^{2} y^{2}\right) = 9 x^{2}$$
$$\lim_{y \to \infty}\left(x^{2} y^{2}\right) = \infty \operatorname{sign}{\left(x^{2} \right)}$$
More at y→oo
$$\lim_{y \to 0^-}\left(x^{2} y^{2}\right) = 0$$
More at y→0 from the left
$$\lim_{y \to 0^+}\left(x^{2} y^{2}\right) = 0$$
More at y→0 from the right
$$\lim_{y \to 1^-}\left(x^{2} y^{2}\right) = x^{2}$$
More at y→1 from the left
$$\lim_{y \to 1^+}\left(x^{2} y^{2}\right) = x^{2}$$
More at y→1 from the right
$$\lim_{y \to -\infty}\left(x^{2} y^{2}\right) = \infty \operatorname{sign}{\left(x^{2} \right)}$$
More at y→-oo