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 (-16+2^x)/(-1+5*sqrt(x)*(5-x))
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Limit of (-4+x^2)/(-3+sqrt(1-4*x))
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Limit of ((1+x)/(-2+x))^(3+x)
- Graphing y =:
- sqrt(2-x^2)
- Integral of d{x}:
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sqrt(2-x^2)
- Derivative of:
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sqrt(2-x^2)
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Identical expressions
- sqrt(two -x^ two)
- square root of (2 minus x squared )
- square root of (two minus x to the power of two)
- √(2-x^2)
- sqrt(2-x2)
- sqrt2-x2
- sqrt(2-x²)
- sqrt(2-x to the power of 2)
- sqrt2-x^2
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Similar expressions
- sqrt(2+x^2)
Limit of the function sqrt(2-x^2)
The solution
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lim \/ 2 - x
x->oo
$$\lim_{x \to \infty} \sqrt{2 - x^{2}}$$
Limit(sqrt(2 - x^2), 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
$$\lim_{x \to \infty} \sqrt{2 - x^{2}} = \infty i$$
$$\lim_{x \to 0^-} \sqrt{2 - x^{2}} = \sqrt{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{2 - x^{2}} = \sqrt{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{2 - x^{2}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{2 - x^{2}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{2 - x^{2}} = \infty i$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt{2 - x^{2}} = \sqrt{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{2 - x^{2}} = \sqrt{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{2 - x^{2}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{2 - x^{2}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{2 - x^{2}} = \infty i$$
More at x→-oo
The graph