Mister Exam
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How to use it?
Limit of the function
:
Limit of (1+x^2-4*x)/(1+2*x)
Limit of (-8+x^2+2*x)/(8-x^3)
Limit of (e^x-e^2)/(-2+x)
Limit of (-6+x^2-x)/(9+x^2-6*x)
Derivative of
:
log(2)
Integral of d{x}
:
log(2)
Identical expressions
log(two)
logarithm of (2)
logarithm of (two)
log2
Similar expressions
log(2+x)^2/(x+x^2)
log(2+x)/x
2^(-x)*log(2*x)
x/log(2*x)
Limit of the function
/
log(2)
Limit of the function log(2)
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(2) x->oo
lim
x
→
∞
log
(
2
)
\lim_{x \to \infty} \log{\left(2 \right)}
x
→
∞
lim
lo
g
(
2
)
Limit(log(2), 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
-0.010
-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]
log(2)
log
(
2
)
\log{\left(2 \right)}
lo
g
(
2
)
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim
x
→
∞
log
(
2
)
=
log
(
2
)
\lim_{x \to \infty} \log{\left(2 \right)} = \log{\left(2 \right)}
x
→
∞
lim
lo
g
(
2
)
=
lo
g
(
2
)
lim
x
→
0
−
log
(
2
)
=
log
(
2
)
\lim_{x \to 0^-} \log{\left(2 \right)} = \log{\left(2 \right)}
x
→
0
−
lim
lo
g
(
2
)
=
lo
g
(
2
)
More at x→0 from the left
lim
x
→
0
+
log
(
2
)
=
log
(
2
)
\lim_{x \to 0^+} \log{\left(2 \right)} = \log{\left(2 \right)}
x
→
0
+
lim
lo
g
(
2
)
=
lo
g
(
2
)
More at x→0 from the right
lim
x
→
1
−
log
(
2
)
=
log
(
2
)
\lim_{x \to 1^-} \log{\left(2 \right)} = \log{\left(2 \right)}
x
→
1
−
lim
lo
g
(
2
)
=
lo
g
(
2
)
More at x→1 from the left
lim
x
→
1
+
log
(
2
)
=
log
(
2
)
\lim_{x \to 1^+} \log{\left(2 \right)} = \log{\left(2 \right)}
x
→
1
+
lim
lo
g
(
2
)
=
lo
g
(
2
)
More at x→1 from the right
lim
x
→
−
∞
log
(
2
)
=
log
(
2
)
\lim_{x \to -\infty} \log{\left(2 \right)} = \log{\left(2 \right)}
x
→
−
∞
lim
lo
g
(
2
)
=
lo
g
(
2
)
More at x→-oo
The graph