Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-1+e^(2*x))/(3*x)
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Limit of (-1+3*x)/(5+x^2+7*x)
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Limit of 1+13*x/5
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Limit of (7+x+x^2)/(-1+e^x)
- Derivative of:
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sqrt(1/x)
- Graphing y =:
- sqrt(1/x)
- Integral of d{x}:
- sqrt(1/x)
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Identical expressions
- sqrt(one /x)
- square root of (1 divide by x)
- square root of (one divide by x)
- √(1/x)
- sqrt1/x
- sqrt(1 divide by x)
Limit of the function sqrt(1/x)
The solution
You have entered
[src]
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/ 1
lim / -
x->oo\/ x
$$\lim_{x \to \infty} \sqrt{\frac{1}{x}}$$
Limit(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
$$\lim_{x \to \infty} \sqrt{\frac{1}{x}} = 0$$
$$\lim_{x \to 0^-} \sqrt{\frac{1}{x}} = \infty i$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{\frac{1}{x}} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{\frac{1}{x}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{\frac{1}{x}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{\frac{1}{x}} = 0$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt{\frac{1}{x}} = \infty i$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{\frac{1}{x}} = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{\frac{1}{x}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{\frac{1}{x}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{\frac{1}{x}} = 0$$
More at x→-oo
The graph