Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+e^(5*x))/sin(2*x)
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Limit of (5-x)^(2/(-4+x))
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Limit of (-2+2^x)/(-1+x)
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Limit of (4-9*x+2*x^2)/(4+x^2-5*x)
- Integral of d{x}:
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x*sqrt(1-x)
- Derivative of:
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x*sqrt(1-x)
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Identical expressions
- x*sqrt(one -x)
- x multiply by square root of (1 minus x)
- x multiply by square root of (one minus x)
- x*√(1-x)
- xsqrt(1-x)
- xsqrt1-x
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Similar expressions
- (2^x-3^x)/(x*sqrt(1-x^2))
- x*sqrt((1-x)/(1+x^2))
- x*sqrt(1+x)
Limit of the function x*sqrt(1-x)
The solution
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/ _______\ lim \x*\/ 1 - x / x->oo
$$\lim_{x \to \infty}\left(x \sqrt{1 - x}\right)$$
Limit(x*sqrt(1 - 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
$$\lim_{x \to \infty}\left(x \sqrt{1 - x}\right) = \infty i$$
$$\lim_{x \to 0^-}\left(x \sqrt{1 - x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sqrt{1 - x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \sqrt{1 - x}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sqrt{1 - x}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \sqrt{1 - x}\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x \sqrt{1 - x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sqrt{1 - x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \sqrt{1 - x}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sqrt{1 - x}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \sqrt{1 - x}\right) = -\infty$$
More at x→-oo
The graph