Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+3*x)/(5+x^2+7*x)
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Limit of (7+x+x^2)/(-1+e^x)
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Limit of ((-2+x)/(1+3*x))^(5*x)
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Limit of (-tan(2*x)+sin(2*x))/x^3
- Derivative of:
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sqrt(2-x)
- Integral of d{x}:
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sqrt(2-x)
- Graphing y =:
- sqrt(2-x)
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Identical expressions
- sqrt(two -x)
- square root of (2 minus x)
- square root of (two minus x)
- √(2-x)
- sqrt2-x
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Similar expressions
- -1+sqrt(5)-x-2/(sqrt(2)-x)
- sqrt(2+x)
- sqrt(2-x^2)
Limit of the function sqrt(2-x)
The solution
You have entered
[src]
_______ lim \/ 2 - x x->oo
$$\lim_{x \to \infty} \sqrt{2 - x}$$
Limit(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
$$\lim_{x \to \infty} \sqrt{2 - x} = \infty i$$
$$\lim_{x \to 0^-} \sqrt{2 - x} = \sqrt{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{2 - x} = \sqrt{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{2 - x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{2 - x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{2 - x} = \infty$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt{2 - x} = \sqrt{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{2 - x} = \sqrt{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{2 - x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{2 - x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{2 - x} = \infty$$
More at x→-oo
The graph