Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sqrt(x)
- Limit of x^n
- Limit of (x^5-a^5)/(x^3-a^3)
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Limit of cot(x)
- Graphing y =:
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sqrt(x)
- Derivative of:
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sqrt(x)
- Sum of series:
- sqrt(x)
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Identical expressions
- sqrt(x)
- square root of (x)
- √(x)
- sqrtx
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Similar expressions
- x/sqrt(x^2+y^2)
Limit of the function sqrt(x)
The solution
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___ lim \/ x x->oo
$$\lim_{x \to \infty} \sqrt{x}$$
Limit(sqrt(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
$$\lim_{x \to \infty} \sqrt{x} = \infty$$
$$\lim_{x \to 0^-} \sqrt{x} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x} = \infty i$$
More at x→-oo
$$\lim_{x \to 0^-} \sqrt{x} = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \sqrt{x} = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \sqrt{x} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \sqrt{x} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \sqrt{x} = \infty i$$
More at x→-oo
The graph