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