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Limit of the function
:
Limit of (2+n)/(1+n)
Limit of (-1+e^(3*x)-3*x)/sin(2*x)^2
Limit of (1+e^x)^(1/x)
Limit of sqrt(1-x+4*x^2)-2*x
Sum of series
:
1/sqrt(n)
Identical expressions
one /sqrt(n)
1 divide by square root of (n)
one divide by square root of (n)
1/√(n)
1/sqrtn
1 divide by sqrt(n)
Similar expressions
1/sqrt(n*(1+n))
Limit of the function
/
1/sqrt(n)
Limit of the function 1/sqrt(n)
at
→
Calculate the limit!
v
For end points:
---------
From the left (x0-)
From the right (x0+)
The graph:
from
to
Piecewise:
{
enter the piecewise function here
The solution
You have entered
[src]
1 lim ----- n->oo ___ \/ n
$$\lim_{n \to \infty} \frac{1}{\sqrt{n}}$$
Limit(1/(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
Plot the graph
Rapid solution
[src]
0
$$0$$
Expand and simplify
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty} \frac{1}{\sqrt{n}} = 0$$
$$\lim_{n \to 0^-} \frac{1}{\sqrt{n}} = - \infty i$$
More at n→0 from the left
$$\lim_{n \to 0^+} \frac{1}{\sqrt{n}} = \infty$$
More at n→0 from the right
$$\lim_{n \to 1^-} \frac{1}{\sqrt{n}} = 1$$
More at n→1 from the left
$$\lim_{n \to 1^+} \frac{1}{\sqrt{n}} = 1$$
More at n→1 from the right
$$\lim_{n \to -\infty} \frac{1}{\sqrt{n}} = 0$$
More at n→-oo
The graph