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 ((-2+x)/(1+x))^(-3+2*x)
Limit of ((1+x^2)/(-1+x^2))^(x^2)
Limit of sin(9*x)*tan(6*x)/(1-cos(10*x))
Limit of (-2*asin(x)+asin(2*x))/x^3
Canonical form
:
2/3
Derivative of
:
2/3
Integral of d{x}
:
2/3
Identical expressions
two / three
2 divide by 3
two divide by three
Similar expressions
(1+x^2)/(3+2*x^2)
atan((1+x^2)/(3+x))
sqrt(1+2*x^2)/(3+x^2)
Limit of the function
/
2/3
Limit of the function 2/3
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 (2/3) x->0+
lim
x
→
0
+
2
3
\lim_{x \to 0^+} \frac{2}{3}
x
→
0
+
lim
3
2
Limit(2/3, x, 0)
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
0.66
0.68
Plot the graph
One‐sided limits
[src]
lim (2/3) x->0+
lim
x
→
0
+
2
3
\lim_{x \to 0^+} \frac{2}{3}
x
→
0
+
lim
3
2
2/3
2
3
\frac{2}{3}
3
2
= 0.666666666666667
lim (2/3) x->0-
lim
x
→
0
−
2
3
\lim_{x \to 0^-} \frac{2}{3}
x
→
0
−
lim
3
2
2/3
2
3
\frac{2}{3}
3
2
= 0.666666666666667
= 0.666666666666667
Other limits x→0, -oo, +oo, 1
lim
x
→
0
−
2
3
=
2
3
\lim_{x \to 0^-} \frac{2}{3} = \frac{2}{3}
x
→
0
−
lim
3
2
=
3
2
More at x→0 from the left
lim
x
→
0
+
2
3
=
2
3
\lim_{x \to 0^+} \frac{2}{3} = \frac{2}{3}
x
→
0
+
lim
3
2
=
3
2
lim
x
→
∞
2
3
=
2
3
\lim_{x \to \infty} \frac{2}{3} = \frac{2}{3}
x
→
∞
lim
3
2
=
3
2
More at x→oo
lim
x
→
1
−
2
3
=
2
3
\lim_{x \to 1^-} \frac{2}{3} = \frac{2}{3}
x
→
1
−
lim
3
2
=
3
2
More at x→1 from the left
lim
x
→
1
+
2
3
=
2
3
\lim_{x \to 1^+} \frac{2}{3} = \frac{2}{3}
x
→
1
+
lim
3
2
=
3
2
More at x→1 from the right
lim
x
→
−
∞
2
3
=
2
3
\lim_{x \to -\infty} \frac{2}{3} = \frac{2}{3}
x
→
−
∞
lim
3
2
=
3
2
More at x→-oo
Rapid solution
[src]
2/3
2
3
\frac{2}{3}
3
2
Expand and simplify
Numerical answer
[src]
0.666666666666667
0.666666666666667
The graph