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Limit of the function
:
Limit of factorial(x)
Limit of exp(x)/x
Limit of (-1-sqrt(5)+sqrt(2)*sqrt(x))/(-3+x)
Limit of 4*x/(1+x)
Derivative of
:
factorial(x)
Graphing y =
:
factorial(x)
Integral of d{x}
:
factorial(x)
Identical expressions
factorial(x)
factorialx
Limit of the function
/
factorial(x)
Limit of the function 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 x! x->3+
lim
x
→
3
+
x
!
\lim_{x \to 3^+} x!
x
→
3
+
lim
x
!
Limit(factorial(x), x, 3)
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
One‐sided limits
[src]
lim x! x->3+
lim
x
→
3
+
x
!
\lim_{x \to 3^+} x!
x
→
3
+
lim
x
!
6
6
6
6
= 6.0
lim x! x->3-
lim
x
→
3
−
x
!
\lim_{x \to 3^-} x!
x
→
3
−
lim
x
!
6
6
6
6
= 6.0
= 6.0
Rapid solution
[src]
6
6
6
6
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim
x
→
3
−
x
!
=
6
\lim_{x \to 3^-} x! = 6
x
→
3
−
lim
x
!
=
6
More at x→3 from the left
lim
x
→
3
+
x
!
=
6
\lim_{x \to 3^+} x! = 6
x
→
3
+
lim
x
!
=
6
lim
x
→
∞
x
!
=
∞
\lim_{x \to \infty} x! = \infty
x
→
∞
lim
x
!
=
∞
More at x→oo
lim
x
→
0
−
x
!
=
1
\lim_{x \to 0^-} x! = 1
x
→
0
−
lim
x
!
=
1
More at x→0 from the left
lim
x
→
0
+
x
!
=
1
\lim_{x \to 0^+} x! = 1
x
→
0
+
lim
x
!
=
1
More at x→0 from the right
lim
x
→
1
−
x
!
=
1
\lim_{x \to 1^-} x! = 1
x
→
1
−
lim
x
!
=
1
More at x→1 from the left
lim
x
→
1
+
x
!
=
1
\lim_{x \to 1^+} x! = 1
x
→
1
+
lim
x
!
=
1
More at x→1 from the right
lim
x
→
−
∞
x
!
=
(
−
∞
)
!
\lim_{x \to -\infty} x! = \left(-\infty\right)!
x
→
−
∞
lim
x
!
=
(
−
∞
)
!
More at x→-oo
Numerical answer
[src]
6.0
6.0