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