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Limit of the function
:
Limit of (2+x^2-3*x)/(3+x^2-4*x)
Limit of (-tan(x)+sin(x))/x^3
Limit of ((1+2*x)/(-1+x))^(4*x)
Limit of sin(5*x)/(4*x^2)
Integral of d{x}
:
-3
Sum of series
:
-3
Derivative of
:
-3
Identical expressions
- three
minus 3
minus three
Similar expressions
((3+x)^2+(3-x)^2)/((3-x)^2-(3+x)^2)
3
Limit of the function
/
-3
Limit of the function -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 (-3) x->0+
lim
x
→
0
+
−
3
\lim_{x \to 0^+} -3
x
→
0
+
lim
−
3
Limit(-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
-3.00
-2.99
Plot the graph
One‐sided limits
[src]
lim (-3) x->0+
lim
x
→
0
+
−
3
\lim_{x \to 0^+} -3
x
→
0
+
lim
−
3
-3
−
3
-3
−
3
= -3
lim (-3) x->0-
lim
x
→
0
−
−
3
\lim_{x \to 0^-} -3
x
→
0
−
lim
−
3
-3
−
3
-3
−
3
= -3
= -3
Other limits x→0, -oo, +oo, 1
lim
x
→
0
−
−
3
=
−
3
\lim_{x \to 0^-} -3 = -3
x
→
0
−
lim
−
3
=
−
3
More at x→0 from the left
lim
x
→
0
+
−
3
=
−
3
\lim_{x \to 0^+} -3 = -3
x
→
0
+
lim
−
3
=
−
3
lim
x
→
∞
−
3
=
−
3
\lim_{x \to \infty} -3 = -3
x
→
∞
lim
−
3
=
−
3
More at x→oo
lim
x
→
1
−
−
3
=
−
3
\lim_{x \to 1^-} -3 = -3
x
→
1
−
lim
−
3
=
−
3
More at x→1 from the left
lim
x
→
1
+
−
3
=
−
3
\lim_{x \to 1^+} -3 = -3
x
→
1
+
lim
−
3
=
−
3
More at x→1 from the right
lim
x
→
−
∞
−
3
=
−
3
\lim_{x \to -\infty} -3 = -3
x
→
−
∞
lim
−
3
=
−
3
More at x→-oo
Rapid solution
[src]
-3
−
3
-3
−
3
Expand and simplify
Numerical answer
[src]
-3
-3
The graph