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Limit of the function
:
Limit of ((1+2*x)/(-1+x))^x
Limit of sin(2*x)/sin(x)
Limit of ((-5+2*x)/(3+2*x))^(7*x)
Limit of (-4+x^2)/(-8+x^3)
Sum of series
:
-6
Identical expressions
- six
minus 6
minus six
Similar expressions
6
Limit of the function
/
-6
Limit of the function -6
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 (-6) x->-oo
lim
x
→
−
∞
−
6
\lim_{x \to -\infty} -6
x
→
−
∞
lim
−
6
Limit(-6, x, -oo)
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]
-6
−
6
-6
−
6
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim
x
→
−
∞
−
6
=
−
6
\lim_{x \to -\infty} -6 = -6
x
→
−
∞
lim
−
6
=
−
6
lim
x
→
∞
−
6
=
−
6
\lim_{x \to \infty} -6 = -6
x
→
∞
lim
−
6
=
−
6
More at x→oo
lim
x
→
0
−
−
6
=
−
6
\lim_{x \to 0^-} -6 = -6
x
→
0
−
lim
−
6
=
−
6
More at x→0 from the left
lim
x
→
0
+
−
6
=
−
6
\lim_{x \to 0^+} -6 = -6
x
→
0
+
lim
−
6
=
−
6
More at x→0 from the right
lim
x
→
1
−
−
6
=
−
6
\lim_{x \to 1^-} -6 = -6
x
→
1
−
lim
−
6
=
−
6
More at x→1 from the left
lim
x
→
1
+
−
6
=
−
6
\lim_{x \to 1^+} -6 = -6
x
→
1
+
lim
−
6
=
−
6
More at x→1 from the right
The graph