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)
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Limit of x^2/(-2+sqrt(4+x^2))
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Limit of ((5+x^2-6*x)/(5+x^2-5*x))^(2+3*x)
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Limit of (2+x^2+3*x)/(-4+x^2)
- Integral of d{x}:
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sqrt(10-x^2)
- Derivative of:
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sqrt(10-x^2)
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Identical expressions
- sqrt(ten -x^ two)
- square root of (10 minus x squared )
- square root of (ten minus x to the power of two)
- √(10-x^2)
- sqrt(10-x2)
- sqrt10-x2
- sqrt(10-x²)
- sqrt(10-x to the power of 2)
- sqrt10-x^2
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Similar expressions
- sqrt(10+x^2)
Limit of the function sqrt(10-x^2)
The solution
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lim \/ 10 - x
x->3+
$$\lim_{x \to 3^+} \sqrt{10 - x^{2}}$$
Limit(sqrt(10 - x^2), x, 3)
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 \/ 10 - x
x->3+
$$\lim_{x \to 3^+} \sqrt{10 - x^{2}}$$
1
$$1$$
= 1.0
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lim \/ 10 - x
x->3-
$$\lim_{x \to 3^-} \sqrt{10 - x^{2}}$$
1
$$1$$
= 1.0
= 1.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 3^-} \sqrt{10 - x^{2}} = 1$$
More at x→3 from the left
$$\lim_{x \to 3^+} \sqrt{10 - x^{2}} = 1$$
$$\lim_{x \to \infty} \sqrt{10 - x^{2}} = \infty i$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{10 - x^{2}} = \sqrt{10}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{10 - x^{2}} = \sqrt{10}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{10 - x^{2}} = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{10 - x^{2}} = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{10 - x^{2}} = \infty i$$
More at x→-oo
More at x→3 from the left
$$\lim_{x \to 3^+} \sqrt{10 - x^{2}} = 1$$
$$\lim_{x \to \infty} \sqrt{10 - x^{2}} = \infty i$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{10 - x^{2}} = \sqrt{10}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{10 - x^{2}} = \sqrt{10}$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{10 - x^{2}} = 3$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{10 - x^{2}} = 3$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{10 - x^{2}} = \infty i$$
More at x→-oo
The graph