Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of ((2+x)/(4+x))^cos(x)
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Limit of -5-2*x^2+8*x
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Limit of (-9+x^2)/(-27+x^3)
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Limit of 1+7*x+11*x^2/2
- Graphing y =:
- x*sqrt(2-x^2)
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Identical expressions
- x*sqrt(two -x^ two)
- x multiply by square root of (2 minus x squared )
- x multiply by square root of (two minus x to the power of two)
- x*√(2-x^2)
- x*sqrt(2-x2)
- x*sqrt2-x2
- x*sqrt(2-x²)
- x*sqrt(2-x to the power of 2)
- xsqrt(2-x^2)
- xsqrt(2-x2)
- xsqrt2-x2
- xsqrt2-x^2
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Similar expressions
- x*sqrt(2+x^2)
Limit of the function x*sqrt(2-x^2)
The solution
You have entered
[src]
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lim \x*\/ 2 - x /
x->oo
$$\lim_{x \to \infty}\left(x \sqrt{2 - x^{2}}\right)$$
Limit(x*sqrt(2 - 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
$$\lim_{x \to \infty}\left(x \sqrt{2 - x^{2}}\right) = \infty i$$
$$\lim_{x \to 0^-}\left(x \sqrt{2 - x^{2}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sqrt{2 - x^{2}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \sqrt{2 - x^{2}}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sqrt{2 - x^{2}}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \sqrt{2 - x^{2}}\right) = - \infty i$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x \sqrt{2 - x^{2}}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sqrt{2 - x^{2}}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \sqrt{2 - x^{2}}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sqrt{2 - x^{2}}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \sqrt{2 - x^{2}}\right) = - \infty i$$
More at x→-oo
The graph