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 (x/2)^(1/(-2+x))
Limit of (5+x^2-6*x)/(-1+x^2)
Limit of (e^(a*x)-e^(b*x))/sin(x)
Limit of sin(5*x)/(4*x)
-10
Identical expressions
- ten
minus 10
minus ten
Similar expressions
10
Limit of the function
/
-10
Limit of the function -10
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 (-10) x->1/2+
lim
x
→
1
2
+
−
10
\lim_{x \to \frac{1}{2}^+} -10
x
→
2
1
+
lim
−
10
Limit(-10, x, 1/2)
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
-1.0
-0.8
-0.6
-0.4
-0.2
1.0
0.0
0.2
0.4
0.6
0.8
-10.00
-9.99
Plot the graph
Other limits x→0, -oo, +oo, 1
lim
x
→
1
2
−
−
10
=
−
10
\lim_{x \to \frac{1}{2}^-} -10 = -10
x
→
2
1
−
lim
−
10
=
−
10
More at x→1/2 from the left
lim
x
→
1
2
+
−
10
=
−
10
\lim_{x \to \frac{1}{2}^+} -10 = -10
x
→
2
1
+
lim
−
10
=
−
10
lim
x
→
∞
−
10
=
−
10
\lim_{x \to \infty} -10 = -10
x
→
∞
lim
−
10
=
−
10
More at x→oo
lim
x
→
0
−
−
10
=
−
10
\lim_{x \to 0^-} -10 = -10
x
→
0
−
lim
−
10
=
−
10
More at x→0 from the left
lim
x
→
0
+
−
10
=
−
10
\lim_{x \to 0^+} -10 = -10
x
→
0
+
lim
−
10
=
−
10
More at x→0 from the right
lim
x
→
1
−
−
10
=
−
10
\lim_{x \to 1^-} -10 = -10
x
→
1
−
lim
−
10
=
−
10
More at x→1 from the left
lim
x
→
1
+
−
10
=
−
10
\lim_{x \to 1^+} -10 = -10
x
→
1
+
lim
−
10
=
−
10
More at x→1 from the right
lim
x
→
−
∞
−
10
=
−
10
\lim_{x \to -\infty} -10 = -10
x
→
−
∞
lim
−
10
=
−
10
More at x→-oo
One‐sided limits
[src]
lim (-10) x->1/2+
lim
x
→
1
2
+
−
10
\lim_{x \to \frac{1}{2}^+} -10
x
→
2
1
+
lim
−
10
-10
−
10
-10
−
10
= -10
lim (-10) x->1/2-
lim
x
→
1
2
−
−
10
\lim_{x \to \frac{1}{2}^-} -10
x
→
2
1
−
lim
−
10
-10
−
10
-10
−
10
= -10
= -10
Rapid solution
[src]
-10
−
10
-10
−
10
Expand and simplify
Numerical answer
[src]
-10
-10
The graph