Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sin(3)^2/x
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Limit of x^4+2*cos(x)^2
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Limit of x*2^x*3^(-x)
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Limit of log(1+3*x^2)/(x^3-5*x^2)
- Derivative of:
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sqrt(1-x^2)
- Graphing y =:
- sqrt(1-x^2)
- Integral of d{x}:
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sqrt(1-x^2)
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Identical expressions
- sqrt(one -x^ two)
- square root of (1 minus x squared )
- square root of (one minus x to the power of two)
- √(1-x^2)
- sqrt(1-x2)
- sqrt1-x2
- sqrt(1-x²)
- sqrt(1-x to the power of 2)
- sqrt1-x^2
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Similar expressions
- sqrt(1+x^2)
- 1-sqrt(1-x^2)/x^2
Limit of the function sqrt(1-x^2)
The solution
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lim \/ 1 - x
x->-oo
$$\lim_{x \to -\infty} \sqrt{1 - x^{2}}$$
Limit(sqrt(1 - x^2), x, -oo)
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
$$\lim_{x \to -\infty} \sqrt{1 - x^{2}} = \infty i$$
$$\lim_{x \to \infty} \sqrt{1 - x^{2}} = \infty i$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{1 - x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{1 - x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{1 - x^{2}} = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{1 - x^{2}} = 0$$
More at x→1 from the right
$$\lim_{x \to \infty} \sqrt{1 - x^{2}} = \infty i$$
More at x→oo
$$\lim_{x \to 0^-} \sqrt{1 - x^{2}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{1 - x^{2}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{1 - x^{2}} = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{1 - x^{2}} = 0$$
More at x→1 from the right
The graph