Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of 1-x-sin(x/2)/pi
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Limit of (1-cos(x)^2)/x
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Limit of (1-cos(4*x))/(4*x^2)
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Limit of (1+8*x)^(1/x)
- Integral of d{x}:
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1/sqrt(1-x)
- Derivative of:
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1/sqrt(1-x)
- Graphing y =:
- 1/sqrt(1-x)
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Identical expressions
- one /sqrt(one -x)
- 1 divide by square root of (1 minus x)
- one divide by square root of (one minus x)
- 1/√(1-x)
- 1/sqrt1-x
- 1 divide by sqrt(1-x)
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Similar expressions
- 1/sqrt(1+x)
- 1/sqrt(1-x^4)
Limit of the function 1/sqrt(1-x)
The solution
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1
lim ---------
x->oo _______
\/ 1 - x
$$\lim_{x \to \infty} \frac{1}{\sqrt{1 - x}}$$
Limit(1/(sqrt(1 - x)), 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
$$\lim_{x \to \infty} \frac{1}{\sqrt{1 - x}} = 0$$
$$\lim_{x \to 0^-} \frac{1}{\sqrt{1 - x}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\sqrt{1 - x}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{\sqrt{1 - x}} = \infty$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\sqrt{1 - x}} = - \infty i$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\sqrt{1 - x}} = 0$$
More at x→-oo
$$\lim_{x \to 0^-} \frac{1}{\sqrt{1 - x}} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\sqrt{1 - x}} = 1$$
More at x→0 from the right
$$\lim_{x \to 1^-} \frac{1}{\sqrt{1 - x}} = \infty$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\sqrt{1 - x}} = - \infty i$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\sqrt{1 - x}} = 0$$
More at x→-oo
The graph