Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-16+x^2-6*x)/(-2+x+x^2)
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Limit of -1+sqrt(5)-x-2/(sqrt(2)-x)
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Limit of (e^x-x-cos(x))/(-x+log(1+x))
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Limit of (-cos(x)^3+cos(x))/(4*x*sin(x))
- Derivative of:
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x*(1-x)
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Identical expressions
- x*(one -x)
- x multiply by (1 minus x)
- x multiply by (one minus x)
- x(1-x)
- x1-x
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Similar expressions
- pi*e*x*(1-x^2)/360
- x^(1-x)
- x*(1+x)
Limit of the function x*(1-x)
The solution
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lim (x*(1 - x)) x->oo
$$\lim_{x \to \infty}\left(x \left(1 - x\right)\right)$$
Limit(x*(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
$$\lim_{x \to \infty}\left(x \left(1 - x\right)\right) = -\infty$$
$$\lim_{x \to 0^-}\left(x \left(1 - x\right)\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \left(1 - x\right)\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \left(1 - x\right)\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \left(1 - x\right)\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \left(1 - x\right)\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x \left(1 - x\right)\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \left(1 - x\right)\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \left(1 - x\right)\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \left(1 - x\right)\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \left(1 - x\right)\right) = -\infty$$
More at x→-oo
The graph