Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2*x^2+4*x^3+5*x)/(3*x^2+7*x)
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Limit of (1-3*x^2+2*x^3)/(x^3+2*x+4*x^2)
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Limit of 5+3*n
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Limit of (1-cos(4*x))/(5*x)
- Derivative of:
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sqrt(1-x)
- Graphing y =:
- sqrt(1-x)
- Integral of d{x}:
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sqrt(1-x)
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Identical expressions
- sqrt(one -x)
- square root of (1 minus x)
- square root of (one minus x)
- √(1-x)
- sqrt1-x
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Similar expressions
- 1/sqrt(1-x^2)
- x*sqrt(1-x^2)
- sqrt(1+x)
- asin(x)/sqrt(1-x^2)
Limit of the function sqrt(1-x)
The solution
You have entered
[src]
_______ lim \/ 1 - x x->1+
$$\lim_{x \to 1^+} \sqrt{1 - x}$$
Limit(sqrt(1 - x), 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
$$\lim_{x \to 1^-} \sqrt{1 - x} = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{1 - x} = 0$$
$$\lim_{x \to \infty} \sqrt{1 - x} = \infty i$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{1 - x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{1 - x} = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty} \sqrt{1 - x} = \infty$$
More at x→-oo
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{1 - x} = 0$$
$$\lim_{x \to \infty} \sqrt{1 - x} = \infty i$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{1 - x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{1 - x} = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty} \sqrt{1 - x} = \infty$$
More at x→-oo
One‐sided limits
[src]
_______ lim \/ 1 - x x->1+
$$\lim_{x \to 1^+} \sqrt{1 - x}$$
0
$$0$$
= (0.0 + 0.0140589505728053j)
_______ lim \/ 1 - x x->1-
$$\lim_{x \to 1^-} \sqrt{1 - x}$$
0
$$0$$
= 0.013960825281075
= 0.013960825281075
The graph