Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 2+((-1+x)/(3+x))^x
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Limit of (-1+x)/(x+x^2)
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Limit of ((1+x)^4-(-1+x)^4)/((1+x)^4+(-1+x)^4)
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Limit of tan(6*x)/(3*x)
- Integral of d{x}:
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sqrt(5-x^2)
- Graphing y =:
- sqrt(5-x^2)
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Identical expressions
- sqrt(five -x^ two)
- square root of (5 minus x squared )
- square root of (five minus x to the power of two)
- √(5-x^2)
- sqrt(5-x2)
- sqrt5-x2
- sqrt(5-x²)
- sqrt(5-x to the power of 2)
- sqrt5-x^2
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Similar expressions
- sqrt(5+x^2)
Limit of the function sqrt(5-x^2)
The solution
You have entered
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lim \/ 5 - x
x->1+
$$\lim_{x \to 1^+} \sqrt{5 - x^{2}}$$
Limit(sqrt(5 - x^2), x, 1)
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
$$\lim_{x \to 1^-} \sqrt{5 - x^{2}} = 2$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{5 - x^{2}} = 2$$
$$\lim_{x \to \infty} \sqrt{5 - x^{2}} = \infty i$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{5 - x^{2}} = \sqrt{5}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{5 - x^{2}} = \sqrt{5}$$
More at x→0 from the right
$$\lim_{x \to -\infty} \sqrt{5 - x^{2}} = \infty i$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{5 - x^{2}} = 2$$
$$\lim_{x \to \infty} \sqrt{5 - x^{2}} = \infty i$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{5 - x^{2}} = \sqrt{5}$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{5 - x^{2}} = \sqrt{5}$$
More at x→0 from the right
$$\lim_{x \to -\infty} \sqrt{5 - x^{2}} = \infty i$$
More at x→-oo
One‐sided limits
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lim \/ 5 - x
x->1+
$$\lim_{x \to 1^+} \sqrt{5 - x^{2}}$$
2
$$2$$
= 2.0
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lim \/ 5 - x
x->1-
$$\lim_{x \to 1^-} \sqrt{5 - x^{2}}$$
2
$$2$$
= 2.0
= 2.0
The graph