Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-cos(5*x)+cos(3*x))/x^2
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Limit of (16+x^2+10*x)/(-6+x^2-x)
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Limit of sqrt(x^2+2*x)-sqrt(-4+x^2)
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Limit of 3/sqrt(n)
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Identical expressions
- three /sqrt(n)
- 3 divide by square root of (n)
- three divide by square root of (n)
- 3/√(n)
- 3/sqrtn
- 3 divide by sqrt(n)
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Similar expressions
- log(n)*sin(pi*n/3)/sqrt(n)
Limit of the function 3/sqrt(n)
The solution
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[src]
/ 3 \
lim |-----|
n->oo| ___|
\\/ n /
$$\lim_{n \to \infty}\left(\frac{3}{\sqrt{n}}\right)$$
Limit(3/sqrt(n), n, 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 n→0, -oo, +oo, 1
$$\lim_{n \to \infty}\left(\frac{3}{\sqrt{n}}\right) = 0$$
$$\lim_{n \to 0^-}\left(\frac{3}{\sqrt{n}}\right) = - \infty i$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{3}{\sqrt{n}}\right) = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{3}{\sqrt{n}}\right) = 3$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{3}{\sqrt{n}}\right) = 3$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{3}{\sqrt{n}}\right) = 0$$
More at n→-oo
$$\lim_{n \to 0^-}\left(\frac{3}{\sqrt{n}}\right) = - \infty i$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\frac{3}{\sqrt{n}}\right) = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\frac{3}{\sqrt{n}}\right) = 3$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\frac{3}{\sqrt{n}}\right) = 3$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\frac{3}{\sqrt{n}}\right) = 0$$
More at n→-oo
The graph