Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -cos(x)+5*x
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Limit of (-30+x^2-x)/(125+x^3)
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Limit of sin(9*x)
- Limit of cot(pi*x)
- The double integral of:
- x*y^2
- x*y^2
- Integral of d{x}:
- x*y^2
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Identical expressions
- x*y^ two
- x multiply by y squared
- x multiply by y to the power of two
- x*y2
- x*y²
- x*y to the power of 2
- xy^2
- xy2
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Similar expressions
- x*y^2/(1-z^2/k^2)^2
- -6+x^3-9*y^4+7*x*y^2
- x^3-y^2+x*y^2
Limit of the function x*y^2
The solution
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/ 2\ lim \x*y / x->-oo
$$\lim_{x \to -\infty}\left(x y^{2}\right)$$
Limit(x*y^2, x, -oo)
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -\infty}\left(x y^{2}\right) = - \infty \operatorname{sign}{\left(y^{2} \right)}$$
$$\lim_{x \to \infty}\left(x y^{2}\right) = \infty \operatorname{sign}{\left(y^{2} \right)}$$
More at x→oo
$$\lim_{x \to 0^-}\left(x y^{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x y^{2}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x y^{2}\right) = y^{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x y^{2}\right) = y^{2}$$
More at x→1 from the right
$$\lim_{x \to \infty}\left(x y^{2}\right) = \infty \operatorname{sign}{\left(y^{2} \right)}$$
More at x→oo
$$\lim_{x \to 0^-}\left(x y^{2}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x y^{2}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x y^{2}\right) = y^{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x y^{2}\right) = y^{2}$$
More at x→1 from the right