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 (1+x^2-4*x)/(1+2*x)
Limit of (-8+x^2+2*x)/(8-x^3)
Limit of (e^x-e^2)/(-2+x)
Limit of (-asin(x)+2*x)/(2*x+atan(x))
Identical expressions
seventy-seven
77
seventy minus seven
Limit of the function
/
77
Limit of the function 77
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 77 x->3+
lim
x
→
3
+
77
\lim_{x \to 3^+} 77
x
→
3
+
lim
77
Limit(77, 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
The graph
-1.0
-0.8
-0.6
-0.4
-0.2
1.0
0.0
0.2
0.4
0.6
0.8
77.00
77.01
Plot the graph
One‐sided limits
[src]
lim 77 x->3+
lim
x
→
3
+
77
\lim_{x \to 3^+} 77
x
→
3
+
lim
77
77
77
77
77
= 77
lim 77 x->3-
lim
x
→
3
−
77
\lim_{x \to 3^-} 77
x
→
3
−
lim
77
77
77
77
77
= 77
= 77
Other limits x→0, -oo, +oo, 1
lim
x
→
3
−
77
=
77
\lim_{x \to 3^-} 77 = 77
x
→
3
−
lim
77
=
77
More at x→3 from the left
lim
x
→
3
+
77
=
77
\lim_{x \to 3^+} 77 = 77
x
→
3
+
lim
77
=
77
lim
x
→
∞
77
=
77
\lim_{x \to \infty} 77 = 77
x
→
∞
lim
77
=
77
More at x→oo
lim
x
→
0
−
77
=
77
\lim_{x \to 0^-} 77 = 77
x
→
0
−
lim
77
=
77
More at x→0 from the left
lim
x
→
0
+
77
=
77
\lim_{x \to 0^+} 77 = 77
x
→
0
+
lim
77
=
77
More at x→0 from the right
lim
x
→
1
−
77
=
77
\lim_{x \to 1^-} 77 = 77
x
→
1
−
lim
77
=
77
More at x→1 from the left
lim
x
→
1
+
77
=
77
\lim_{x \to 1^+} 77 = 77
x
→
1
+
lim
77
=
77
More at x→1 from the right
lim
x
→
−
∞
77
=
77
\lim_{x \to -\infty} 77 = 77
x
→
−
∞
lim
77
=
77
More at x→-oo
Rapid solution
[src]
77
77
77
77
Expand and simplify
Numerical answer
[src]
77
77
The graph