Mister Exam
Lang:
EN
EN
ES
RU
Other calculators:
Integral Step by Step
Derivative Step by Step
Differential equations Step by Step
How to use it?
Limit of the function
:
Limit of sin(factorial(x))
Limit of sqrt(x)*log(x)
Limit of sin(sqrt(x))/sqrt(x)
Limit of sin(z)
Identical expressions
sin(factorial(x))
sinus of (factorial(x))
sinfactorialx
Limit of the function
/
sin(factorial(x))
Limit of the function sin(factorial(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 sin(x!) x->oo
lim
x
→
∞
sin
(
x
!
)
\lim_{x \to \infty} \sin{\left(x! \right)}
x
→
∞
lim
sin
(
x
!
)
Limit(sin(factorial(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
Other limits x→0, -oo, +oo, 1
lim
x
→
∞
sin
(
x
!
)
=
⟨
−
1
,
1
⟩
\lim_{x \to \infty} \sin{\left(x! \right)} = \left\langle -1, 1\right\rangle
x
→
∞
lim
sin
(
x
!
)
=
⟨
−
1
,
1
⟩
lim
x
→
0
−
sin
(
x
!
)
=
sin
(
1
)
\lim_{x \to 0^-} \sin{\left(x! \right)} = \sin{\left(1 \right)}
x
→
0
−
lim
sin
(
x
!
)
=
sin
(
1
)
More at x→0 from the left
lim
x
→
0
+
sin
(
x
!
)
=
sin
(
1
)
\lim_{x \to 0^+} \sin{\left(x! \right)} = \sin{\left(1 \right)}
x
→
0
+
lim
sin
(
x
!
)
=
sin
(
1
)
More at x→0 from the right
lim
x
→
1
−
sin
(
x
!
)
=
sin
(
1
)
\lim_{x \to 1^-} \sin{\left(x! \right)} = \sin{\left(1 \right)}
x
→
1
−
lim
sin
(
x
!
)
=
sin
(
1
)
More at x→1 from the left
lim
x
→
1
+
sin
(
x
!
)
=
sin
(
1
)
\lim_{x \to 1^+} \sin{\left(x! \right)} = \sin{\left(1 \right)}
x
→
1
+
lim
sin
(
x
!
)
=
sin
(
1
)
More at x→1 from the right
lim
x
→
−
∞
sin
(
x
!
)
=
sin
(
(
−
∞
)
!
)
\lim_{x \to -\infty} \sin{\left(x! \right)} = \sin{\left(\left(-\infty\right)! \right)}
x
→
−
∞
lim
sin
(
x
!
)
=
sin
(
(
−
∞
)
!
)
More at x→-oo
Rapid solution
[src]
<-1, 1>
⟨
−
1
,
1
⟩
\left\langle -1, 1\right\rangle
⟨
−
1
,
1
⟩
Expand and simplify