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Limit of the function
:
Limit of 2^(-n)*2^(1+n)
Limit of (-6+x^2-x)/(9+x^2-6*x)
Limit of ((1+x)/(1+2*x))^x
Limit of (9^x-8^x)/asin(3*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^2)
atan(1/(9+x))
-9+x^2-1/(9*x^2)
1/(9*x+10*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
→
∞
1
9
\lim_{n \to \infty} \frac{1}{9}
n
→
∞
lim
9
1
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
-0.010
-0.008
-0.006
-0.004
-0.002
0.010
0.000
0.002
0.004
0.006
0.008
0.00
Plot the graph
Rapid solution
[src]
1/9
1
9
\frac{1}{9}
9
1
Expand and simplify
Other limits n→0, -oo, +oo, 1
lim
n
→
∞
1
9
=
1
9
\lim_{n \to \infty} \frac{1}{9} = \frac{1}{9}
n
→
∞
lim
9
1
=
9
1
lim
n
→
0
−
1
9
=
1
9
\lim_{n \to 0^-} \frac{1}{9} = \frac{1}{9}
n
→
0
−
lim
9
1
=
9
1
More at n→0 from the left
lim
n
→
0
+
1
9
=
1
9
\lim_{n \to 0^+} \frac{1}{9} = \frac{1}{9}
n
→
0
+
lim
9
1
=
9
1
More at n→0 from the right
lim
n
→
1
−
1
9
=
1
9
\lim_{n \to 1^-} \frac{1}{9} = \frac{1}{9}
n
→
1
−
lim
9
1
=
9
1
More at n→1 from the left
lim
n
→
1
+
1
9
=
1
9
\lim_{n \to 1^+} \frac{1}{9} = \frac{1}{9}
n
→
1
+
lim
9
1
=
9
1
More at n→1 from the right
lim
n
→
−
∞
1
9
=
1
9
\lim_{n \to -\infty} \frac{1}{9} = \frac{1}{9}
n
→
−
∞
lim
9
1
=
9
1
More at n→-oo
The graph