Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of sin(3)^2/x
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Limit of x^4+2*cos(x)^2
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Limit of x*2^x*3^(-x)
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Limit of log(1+3*x^2)/(x^3-5*x^2)
- Sum of series:
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1/(n*log(n))
- Graphing y =:
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1/(n*log(n))
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Identical expressions
- one /(n*log(n))
- 1 divide by (n multiply by logarithm of (n))
- one divide by (n multiply by logarithm of (n))
- 1/(nlog(n))
- 1/nlogn
- 1 divide by (n*log(n))
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Similar expressions
- 1/(n*log(n)^3)
- 1/(n*log(n)*log(log(n)))
- 1/(n*log(n)^4)
- 1/(n*log(n)^2)
Limit of the function 1/(n*log(n))
The solution
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1 lim -------- n->oon*log(n)
$$\lim_{n \to \infty} \frac{1}{n \log{\left(n \right)}}$$
Limit(1/(n*log(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
$$\lim_{n \to \infty} \frac{1}{n \log{\left(n \right)}} = 0$$
$$\lim_{n \to 0^-} \frac{1}{n \log{\left(n \right)}} = \infty$$
More at n→0 from the left
$$\lim_{n \to 0^+} \frac{1}{n \log{\left(n \right)}} = -\infty$$
More at n→0 from the right
$$\lim_{n \to 1^-} \frac{1}{n \log{\left(n \right)}} = -\infty$$
More at n→1 from the left
$$\lim_{n \to 1^+} \frac{1}{n \log{\left(n \right)}} = \infty$$
More at n→1 from the right
$$\lim_{n \to -\infty} \frac{1}{n \log{\left(n \right)}} = 0$$
More at n→-oo
$$\lim_{n \to 0^-} \frac{1}{n \log{\left(n \right)}} = \infty$$
More at n→0 from the left
$$\lim_{n \to 0^+} \frac{1}{n \log{\left(n \right)}} = -\infty$$
More at n→0 from the right
$$\lim_{n \to 1^-} \frac{1}{n \log{\left(n \right)}} = -\infty$$
More at n→1 from the left
$$\lim_{n \to 1^+} \frac{1}{n \log{\left(n \right)}} = \infty$$
More at n→1 from the right
$$\lim_{n \to -\infty} \frac{1}{n \log{\left(n \right)}} = 0$$
More at n→-oo
The graph