Mister Exam
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Limit of the function
:
Limit of cot(n)
Limit of (x^5-a^5)/(x^3-a^3)
Limit of tanh(1/x)
Limit of cos(x)*log(x)
Identical expressions
cot(n)
cotangent of (n)
cotn
Similar expressions
acot(n+x)
-acot(n-x)
acot(n*x)
Limit of the function
/
cot(n)
Limit of the function cot(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]
lim cot(n) n->oo
lim
n
→
∞
cot
(
n
)
\lim_{n \to \infty} \cot{\left(n \right)}
n
→
∞
lim
cot
(
n
)
Limit(cot(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
0
2
4
6
8
-8
-6
-4
-2
-10
10
-200
200
Plot the graph
Other limits n→0, -oo, +oo, 1
lim
n
→
∞
cot
(
n
)
=
⟨
−
∞
,
∞
⟩
\lim_{n \to \infty} \cot{\left(n \right)} = \left\langle -\infty, \infty\right\rangle
n
→
∞
lim
cot
(
n
)
=
⟨
−
∞
,
∞
⟩
lim
n
→
0
−
cot
(
n
)
=
−
∞
\lim_{n \to 0^-} \cot{\left(n \right)} = -\infty
n
→
0
−
lim
cot
(
n
)
=
−
∞
More at n→0 from the left
lim
n
→
0
+
cot
(
n
)
=
∞
\lim_{n \to 0^+} \cot{\left(n \right)} = \infty
n
→
0
+
lim
cot
(
n
)
=
∞
More at n→0 from the right
lim
n
→
1
−
cot
(
n
)
=
cot
(
1
)
\lim_{n \to 1^-} \cot{\left(n \right)} = \cot{\left(1 \right)}
n
→
1
−
lim
cot
(
n
)
=
cot
(
1
)
More at n→1 from the left
lim
n
→
1
+
cot
(
n
)
=
cot
(
1
)
\lim_{n \to 1^+} \cot{\left(n \right)} = \cot{\left(1 \right)}
n
→
1
+
lim
cot
(
n
)
=
cot
(
1
)
More at n→1 from the right
lim
n
→
−
∞
cot
(
n
)
=
⟨
−
∞
,
∞
⟩
\lim_{n \to -\infty} \cot{\left(n \right)} = \left\langle -\infty, \infty\right\rangle
n
→
−
∞
lim
cot
(
n
)
=
⟨
−
∞
,
∞
⟩
More at n→-oo
Rapid solution
[src]
<-oo, oo>
⟨
−
∞
,
∞
⟩
\left\langle -\infty, \infty\right\rangle
⟨
−
∞
,
∞
⟩
Expand and simplify
The graph