Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sin(3*x)/sin(x)
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Limit of n/factorial(n)
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Limit of tan(3*x)
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Limit of sqrt(3)/3
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Identical expressions
- sqrt(three)/ three
- square root of (3) divide by 3
- square root of (three) divide by three
- √(3)/3
- sqrt3/3
- sqrt(3) divide by 3
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Similar expressions
- x*sqrt(3)/(3*sqrt(2+x-sqrt(2)))
- sqrt(3)/(3*(x-i*sqrt(3)))
Limit of the function sqrt(3)/3
The solution
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[src]
/ ___\
|\/ 3 |
lim |-----|
x->oo\ 3 /
$$\lim_{x \to \infty}\left(\frac{\sqrt{3}}{3}\right)$$
Limit(sqrt(3)/3, 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
$$\lim_{x \to \infty}\left(\frac{\sqrt{3}}{3}\right) = \frac{\sqrt{3}}{3}$$
$$\lim_{x \to 0^-}\left(\frac{\sqrt{3}}{3}\right) = \frac{\sqrt{3}}{3}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\sqrt{3}}{3}\right) = \frac{\sqrt{3}}{3}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\sqrt{3}}{3}\right) = \frac{\sqrt{3}}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\sqrt{3}}{3}\right) = \frac{\sqrt{3}}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\sqrt{3}}{3}\right) = \frac{\sqrt{3}}{3}$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{\sqrt{3}}{3}\right) = \frac{\sqrt{3}}{3}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\sqrt{3}}{3}\right) = \frac{\sqrt{3}}{3}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\sqrt{3}}{3}\right) = \frac{\sqrt{3}}{3}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\sqrt{3}}{3}\right) = \frac{\sqrt{3}}{3}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\sqrt{3}}{3}\right) = \frac{\sqrt{3}}{3}$$
More at x→-oo
The graph