Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sqrt(2)/2
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Limit of tan(15*x)/sin(3*x)
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Limit of sin(3*x)/sin(x)
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Limit of n/factorial(n)
- sqrt(2)/2
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Identical expressions
- sqrt(two)/ two
- square root of (2) divide by 2
- square root of (two) divide by two
- √(2)/2
- sqrt2/2
- sqrt(2) divide by 2
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Similar expressions
- sqrt(2)/(2*sqrt(x))
Limit of the function sqrt(2)/2
The solution
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[src]
/ ___\
|\/ 2 |
lim |-----|
x->oo\ 2 /
$$\lim_{x \to \infty}\left(\frac{\sqrt{2}}{2}\right)$$
Limit(sqrt(2)/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
$$\lim_{x \to \infty}\left(\frac{\sqrt{2}}{2}\right) = \frac{\sqrt{2}}{2}$$
$$\lim_{x \to 0^-}\left(\frac{\sqrt{2}}{2}\right) = \frac{\sqrt{2}}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\sqrt{2}}{2}\right) = \frac{\sqrt{2}}{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\sqrt{2}}{2}\right) = \frac{\sqrt{2}}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\sqrt{2}}{2}\right) = \frac{\sqrt{2}}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\sqrt{2}}{2}\right) = \frac{\sqrt{2}}{2}$$
More at x→-oo
$$\lim_{x \to 0^-}\left(\frac{\sqrt{2}}{2}\right) = \frac{\sqrt{2}}{2}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\sqrt{2}}{2}\right) = \frac{\sqrt{2}}{2}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\sqrt{2}}{2}\right) = \frac{\sqrt{2}}{2}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\sqrt{2}}{2}\right) = \frac{\sqrt{2}}{2}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\sqrt{2}}{2}\right) = \frac{\sqrt{2}}{2}$$
More at x→-oo
The graph