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Limit of the function
:
Limit of factorial(n)^2/factorial(2*n)
Limit of x*log(x)
Limit of -8
Limit of (sqrt(1+16*x)-sqrt(9+16*x))/sqrt(25+36*x)
Sum of series
:
-8
Integral of d{x}
:
-8
Identical expressions
- eight
minus 8
minus eight
Similar expressions
8
Limit of the function
/
-8
Limit of the function -8
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 (-8) x->5+
lim
x
→
5
+
−
8
\lim_{x \to 5^+} -8
x
→
5
+
lim
−
8
Limit(-8, x, 5)
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
Rapid solution
[src]
-8
−
8
-8
−
8
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim
x
→
5
−
−
8
=
−
8
\lim_{x \to 5^-} -8 = -8
x
→
5
−
lim
−
8
=
−
8
More at x→5 from the left
lim
x
→
5
+
−
8
=
−
8
\lim_{x \to 5^+} -8 = -8
x
→
5
+
lim
−
8
=
−
8
lim
x
→
∞
−
8
=
−
8
\lim_{x \to \infty} -8 = -8
x
→
∞
lim
−
8
=
−
8
More at x→oo
lim
x
→
0
−
−
8
=
−
8
\lim_{x \to 0^-} -8 = -8
x
→
0
−
lim
−
8
=
−
8
More at x→0 from the left
lim
x
→
0
+
−
8
=
−
8
\lim_{x \to 0^+} -8 = -8
x
→
0
+
lim
−
8
=
−
8
More at x→0 from the right
lim
x
→
1
−
−
8
=
−
8
\lim_{x \to 1^-} -8 = -8
x
→
1
−
lim
−
8
=
−
8
More at x→1 from the left
lim
x
→
1
+
−
8
=
−
8
\lim_{x \to 1^+} -8 = -8
x
→
1
+
lim
−
8
=
−
8
More at x→1 from the right
lim
x
→
−
∞
−
8
=
−
8
\lim_{x \to -\infty} -8 = -8
x
→
−
∞
lim
−
8
=
−
8
More at x→-oo
One‐sided limits
[src]
lim (-8) x->5+
lim
x
→
5
+
−
8
\lim_{x \to 5^+} -8
x
→
5
+
lim
−
8
-8
−
8
-8
−
8
= -8
lim (-8) x->5-
lim
x
→
5
−
−
8
\lim_{x \to 5^-} -8
x
→
5
−
lim
−
8
-8
−
8
-8
−
8
= -8
= -8
Numerical answer
[src]
-8
-8