Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (4-x^2)/(3-x^2)
-
Limit of (-2+x^2-x)/(-2+x+3*x^2)
-
Limit of 5-9*x+3*x^2/2
-
Limit of (-16+x^2)/(-64+x^3)
-
Identical expressions
- three -sqrt(n)+sqrt(three)*sqrt(n)
- 3 minus square root of (n) plus square root of (3) multiply by square root of (n)
- three minus square root of (n) plus square root of (three) multiply by square root of (n)
- 3-√(n)+√(3)*√(n)
- 3-sqrt(n)+sqrt(3)sqrt(n)
- 3-sqrtn+sqrt3sqrtn
-
Similar expressions
- 3-sqrt(n)-sqrt(3)*sqrt(n)
- 3+sqrt(n)+sqrt(3)*sqrt(n)
Limit of the function 3-sqrt(n)+sqrt(3)*sqrt(n)
The solution
You have entered
[src]
/ ___ ___ ___\ lim \3 - \/ n + \/ 3 *\/ n / n->oo
$$\lim_{n \to \infty}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right)$$
Limit(3 - sqrt(n) + sqrt(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
$$\lim_{n \to \infty}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right) = \infty$$
$$\lim_{n \to 0^-}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right) = 3$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right) = 3$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right) = \sqrt{3} + 2$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right) = \sqrt{3} + 2$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right) = \infty i$$
More at n→-oo
$$\lim_{n \to 0^-}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right) = 3$$
More at n→0 from the left
$$\lim_{n \to 0^+}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right) = 3$$
More at n→0 from the right
$$\lim_{n \to 1^-}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right) = \sqrt{3} + 2$$
More at n→1 from the left
$$\lim_{n \to 1^+}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right) = \sqrt{3} + 2$$
More at n→1 from the right
$$\lim_{n \to -\infty}\left(\sqrt{3} \sqrt{n} + \left(3 - \sqrt{n}\right)\right) = \infty i$$
More at n→-oo
The graph