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Limit of the function
:
Limit of (-1+x)/(x+x^2)
Limit of log(-5+x)/log(e^x-e^5)
Limit of (-exp(-x)-2*x+exp(x))/(x-sin(x))
Limit of (e^(4*x)-e^(3*x))/(-sin(3*x)+sin(4*x))
Integral of d{x}
:
1/9
1/9
Identical expressions
one / nine
1 divide by 9
one divide by nine
Similar expressions
1/(9*x)
1/(9-x^2)
1/(9*x+10*x^2)
atan(1/(9+x))
-9+x^2-1/(9*x^2)
Limit of the function
/
1/9
Limit of the function 1/9
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]
lim (1/9) n->oo
$$\lim_{n \to \infty} \frac{1}{9}$$
Limit(1/9, 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]
1/9
$$\frac{1}{9}$$
Expand and simplify
Other limits n→0, -oo, +oo, 1
$$\lim_{n \to \infty} \frac{1}{9} = \frac{1}{9}$$
$$\lim_{n \to 0^-} \frac{1}{9} = \frac{1}{9}$$
More at n→0 from the left
$$\lim_{n \to 0^+} \frac{1}{9} = \frac{1}{9}$$
More at n→0 from the right
$$\lim_{n \to 1^-} \frac{1}{9} = \frac{1}{9}$$
More at n→1 from the left
$$\lim_{n \to 1^+} \frac{1}{9} = \frac{1}{9}$$
More at n→1 from the right
$$\lim_{n \to -\infty} \frac{1}{9} = \frac{1}{9}$$
More at n→-oo
The graph