Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (9+3*x^2+4*x)/(7-7*x+3*x^2)
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Limit of (1+2*n)/(-1+3*n)
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Limit of (x^3-3^x)/(-3+x)
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Limit of -x+(-2+x)^4/(3+x)^4
- Graphing y =:
- x*sqrt(2-x)
- Integral of d{x}:
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x*sqrt(2-x)
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Identical expressions
- x*sqrt(two -x)
- x multiply by square root of (2 minus x)
- x multiply by square root of (two minus x)
- x*√(2-x)
- xsqrt(2-x)
- xsqrt2-x
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Similar expressions
- x*(x*sqrt(2)-x*sqrt(3))
- x*(sqrt(2)-x*sqrt(3))
- x*sqrt(2+x)
Limit of the function x*sqrt(2-x)
The solution
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/ _______\ lim \x*\/ 2 - x / x->oo
$$\lim_{x \to \infty}\left(x \sqrt{2 - x}\right)$$
Limit(x*sqrt(2 - x), 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
$$\lim_{x \to \infty}\left(x \sqrt{2 - x}\right) = \infty i$$
$$\lim_{x \to 0^-}\left(x \sqrt{2 - x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sqrt{2 - x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \sqrt{2 - x}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sqrt{2 - x}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \sqrt{2 - x}\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x \sqrt{2 - x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sqrt{2 - x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \sqrt{2 - x}\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sqrt{2 - x}\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \sqrt{2 - x}\right) = -\infty$$
More at x→-oo
The graph