Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-asin(x)+2*x)/(2*x+acot(x))
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Limit of (-2+2*x^3+7*x)/(-4-x+3*x^3)
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Limit of (1+2*x^2+5*x)/(-3+x^2+2*x)
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Limit of (1-sin(x))/cos(x)
- Graphing y =:
- sqrt(8-x^2)
- Integral of d{x}:
- sqrt(8-x^2)
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Identical expressions
- sqrt(eight -x^ two)
- square root of (8 minus x squared )
- square root of (eight minus x to the power of two)
- √(8-x^2)
- sqrt(8-x2)
- sqrt8-x2
- sqrt(8-x²)
- sqrt(8-x to the power of 2)
- sqrt8-x^2
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Similar expressions
- sqrt(8+x^2)
Limit of the function sqrt(8-x^2)
The solution
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lim \/ 8 - x
x->oo
$$\lim_{x \to \infty} \sqrt{8 - x^{2}}$$
Limit(sqrt(8 - 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
$$\lim_{x \to \infty} \sqrt{8 - x^{2}} = \infty i$$
$$\lim_{x \to 0^-} \sqrt{8 - x^{2}} = 2 \sqrt{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{8 - x^{2}} = 2 \sqrt{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{8 - x^{2}} = \sqrt{7}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{8 - x^{2}} = \sqrt{7}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{8 - x^{2}} = \infty i$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt{8 - x^{2}} = 2 \sqrt{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{8 - x^{2}} = 2 \sqrt{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{8 - x^{2}} = \sqrt{7}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{8 - x^{2}} = \sqrt{7}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{8 - x^{2}} = \infty i$$
More at x→-oo
The graph