Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of cos(x^2)
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Limit of (3-x+4*x^5)/(5+x^4-8*x)
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Limit of (-3+4*x)/(5+2*x)
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Limit of 4/(2+x)
- Graphing y =:
- x-2*sqrt(x)
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Identical expressions
- x- two *sqrt(x)
- x minus 2 multiply by square root of (x)
- x minus two multiply by square root of (x)
- x-2*√(x)
- x-2sqrt(x)
- x-2sqrtx
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Similar expressions
- sqrt(30+x)*(sqrt(14+4*x)-2*sqrt(x))
- x+2*sqrt(x)
- x^(3/2)*(sqrt(1+x)+sqrt(-1+x)-2*sqrt(x))
- x^(3/2)*(sqrt(-2+x)+sqrt(2+x)-2*sqrt(x))
- sqrt(-1+x)-2*sqrt(x)
Limit of the function x-2*sqrt(x)
The solution
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/ ___\ lim \x - 2*\/ x / x->oo
$$\lim_{x \to \infty}\left(- 2 \sqrt{x} + x\right)$$
Limit(x - 2*sqrt(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
$$\lim_{x \to \infty}\left(- 2 \sqrt{x} + x\right) = \infty$$
$$\lim_{x \to 0^-}\left(- 2 \sqrt{x} + x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- 2 \sqrt{x} + x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- 2 \sqrt{x} + x\right) = -1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- 2 \sqrt{x} + x\right) = -1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- 2 \sqrt{x} + x\right) = -\infty$$
More at x→-oo
$$\lim_{x \to 0^-}\left(- 2 \sqrt{x} + x\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- 2 \sqrt{x} + x\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(- 2 \sqrt{x} + x\right) = -1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- 2 \sqrt{x} + x\right) = -1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- 2 \sqrt{x} + x\right) = -\infty$$
More at x→-oo
The graph