Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (-2+x)/(-2+x^2-x)
-
Limit of cos(5*x)*sin(2*x)/tan(x)
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Limit of 3*sin(x)^2/(4*x)
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Limit of log(1+e^x)
- Derivative of:
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sqrt(4-x)
- Graphing y =:
- sqrt(4-x)
- Integral of d{x}:
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sqrt(4-x)
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Identical expressions
- sqrt(four -x)
- square root of (4 minus x)
- square root of (four minus x)
- √(4-x)
- sqrt4-x
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Similar expressions
- sqrt(4-x^2)/x
- x*sqrt(4-x^2)
- sqrt(4+x)
Limit of the function sqrt(4-x)
The solution
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[src]
_______ lim \/ 4 - x x->4+
$$\lim_{x \to 4^+} \sqrt{4 - x}$$
Limit(sqrt(4 - x), x, 4)
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
[src]
_______ lim \/ 4 - x x->4+
$$\lim_{x \to 4^+} \sqrt{4 - x}$$
0
$$0$$
= (0.0 + 0.0140226207686625j)
_______ lim \/ 4 - x x->4-
$$\lim_{x \to 4^-} \sqrt{4 - x}$$
0
$$0$$
= 0.0141383686500258
= 0.0141383686500258
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 4^-} \sqrt{4 - x} = 0$$
More at x→4 from the left
$$\lim_{x \to 4^+} \sqrt{4 - x} = 0$$
$$\lim_{x \to \infty} \sqrt{4 - x} = \infty i$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{4 - x} = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{4 - x} = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{4 - x} = \sqrt{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{4 - x} = \sqrt{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{4 - x} = \infty$$
More at x→-oo
More at x→4 from the left
$$\lim_{x \to 4^+} \sqrt{4 - x} = 0$$
$$\lim_{x \to \infty} \sqrt{4 - x} = \infty i$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{4 - x} = 2$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{4 - x} = 2$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{4 - x} = \sqrt{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{4 - x} = \sqrt{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{4 - x} = \infty$$
More at x→-oo
The graph