Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 10+x^2+3*x^3+8*x
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Limit of (-2+sqrt(x))/(-4+x^2)
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Limit of x+2*x^3+5*x^4-x^2/3
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Limit of (-x^3+2*x+5*x^4)/(1+x^4-8*x^3)
- Derivative of:
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x*sqrt(3-x)
- Graphing y =:
- x*sqrt(3-x)
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Identical expressions
- x*sqrt(three -x)
- x multiply by square root of (3 minus x)
- x multiply by square root of (three minus x)
- x*√(3-x)
- xsqrt(3-x)
- xsqrt3-x
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Similar expressions
- x*sqrt(3+x)
- x/(sqrt(3+x)*sqrt(3-x))
Limit of the function x*sqrt(3-x)
The solution
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/ _______\ lim \x*\/ 3 - x / x->-oo
$$\lim_{x \to -\infty}\left(x \sqrt{3 - x}\right)$$
Limit(x*sqrt(3 - x), 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
The graph
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -\infty}\left(x \sqrt{3 - x}\right) = -\infty$$
$$\lim_{x \to \infty}\left(x \sqrt{3 - x}\right) = \infty i$$
More at x→oo
$$\lim_{x \to 0^-}\left(x \sqrt{3 - x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sqrt{3 - x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \sqrt{3 - x}\right) = \sqrt{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sqrt{3 - x}\right) = \sqrt{2}$$
More at x→1 from the right
$$\lim_{x \to \infty}\left(x \sqrt{3 - x}\right) = \infty i$$
More at x→oo
$$\lim_{x \to 0^-}\left(x \sqrt{3 - x}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sqrt{3 - x}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \sqrt{3 - x}\right) = \sqrt{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sqrt{3 - x}\right) = \sqrt{2}$$
More at x→1 from the right
The graph