Mister Exam
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Limit of the function
:
Limit of (-sin(x)+tan(x))/(-sin(x)+4*x)
Limit of (3+n)/(1+n)
Limit of (1+3*x)^(5/x)
Limit of x^2/(-2+sqrt(4+x^2))
Integral of d{x}
:
-log(x)
Derivative of
:
-log(x)
Identical expressions
-log(x)
minus logarithm of (x)
-logx
Similar expressions
log(x)
Limit of the function
/
-log(x)
Limit of the function -log(x)
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 (-log(x)) x->oo
lim
x
→
∞
(
−
log
(
x
)
)
\lim_{x \to \infty}\left(- \log{\left(x \right)}\right)
x
→
∞
lim
(
−
lo
g
(
x
)
)
Limit(-log(x), x, 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
5
-5
Plot the graph
Other limits x→0, -oo, +oo, 1
lim
x
→
∞
(
−
log
(
x
)
)
=
−
∞
\lim_{x \to \infty}\left(- \log{\left(x \right)}\right) = -\infty
x
→
∞
lim
(
−
lo
g
(
x
)
)
=
−
∞
lim
x
→
0
−
(
−
log
(
x
)
)
=
∞
\lim_{x \to 0^-}\left(- \log{\left(x \right)}\right) = \infty
x
→
0
−
lim
(
−
lo
g
(
x
)
)
=
∞
More at x→0 from the left
lim
x
→
0
+
(
−
log
(
x
)
)
=
∞
\lim_{x \to 0^+}\left(- \log{\left(x \right)}\right) = \infty
x
→
0
+
lim
(
−
lo
g
(
x
)
)
=
∞
More at x→0 from the right
lim
x
→
1
−
(
−
log
(
x
)
)
=
0
\lim_{x \to 1^-}\left(- \log{\left(x \right)}\right) = 0
x
→
1
−
lim
(
−
lo
g
(
x
)
)
=
0
More at x→1 from the left
lim
x
→
1
+
(
−
log
(
x
)
)
=
0
\lim_{x \to 1^+}\left(- \log{\left(x \right)}\right) = 0
x
→
1
+
lim
(
−
lo
g
(
x
)
)
=
0
More at x→1 from the right
lim
x
→
−
∞
(
−
log
(
x
)
)
=
−
∞
\lim_{x \to -\infty}\left(- \log{\left(x \right)}\right) = -\infty
x
→
−
∞
lim
(
−
lo
g
(
x
)
)
=
−
∞
More at x→-oo
Rapid solution
[src]
-oo
−
∞
-\infty
−
∞
Expand and simplify
The graph