Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (1-cos(4*x))/(1-cos(8*x))
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Limit of (1+x^2-4*x)/(1+2*x)
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Limit of (5-3*x^2-2*x)/(3+x+x^2)
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Limit of (3+x^2-x)/(-3+3*x+5*x^2)
- Graphing y =:
- sqrt(9-x^2)
- Derivative of:
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sqrt(9-x^2)
- Integral of d{x}:
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sqrt(9-x^2)
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Identical expressions
- sqrt(nine -x^ two)
- square root of (9 minus x squared )
- square root of (nine minus x to the power of two)
- √(9-x^2)
- sqrt(9-x2)
- sqrt9-x2
- sqrt(9-x²)
- sqrt(9-x to the power of 2)
- sqrt9-x^2
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Similar expressions
- sqrt(9+x^2)
Limit of the function sqrt(9-x^2)
The solution
You have entered
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lim \/ 9 - x
x->0+
$$\lim_{x \to 0^+} \sqrt{9 - x^{2}}$$
Limit(sqrt(9 - x^2), x, 0)
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
One‐sided limits
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lim \/ 9 - x
x->0+
$$\lim_{x \to 0^+} \sqrt{9 - x^{2}}$$
3
$$3$$
= 3.0
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lim \/ 9 - x
x->0-
$$\lim_{x \to 0^-} \sqrt{9 - x^{2}}$$
3
$$3$$
= 3.0
= 3.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \sqrt{9 - x^{2}} = 3$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{9 - x^{2}} = 3$$
$$\lim_{x \to \infty} \sqrt{9 - x^{2}} = \infty i$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{9 - x^{2}} = 2 \sqrt{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{9 - x^{2}} = 2 \sqrt{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{9 - x^{2}} = \infty i$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{9 - x^{2}} = 3$$
$$\lim_{x \to \infty} \sqrt{9 - x^{2}} = \infty i$$
More at x→oo
$$\lim_{x \to 1^-} \sqrt{9 - x^{2}} = 2 \sqrt{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{9 - x^{2}} = 2 \sqrt{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{9 - x^{2}} = \infty i$$
More at x→-oo
The graph