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Limit of the function
:
Limit of (-9+x^2)/(15+x^2-8*x)
Limit of ((1+2*x)/(-1+x))^x
Limit of (e^x-e)/(-1+x)
Limit of (5-4*x+3*x^2)/(1-x+2*x^2)
Derivative of
:
1-2*x
Integral of d{x}
:
1-2*x
Identical expressions
one - two *x
1 minus 2 multiply by x
one minus two multiply by x
1-2x
Similar expressions
1+2*x
Limit of the function
/
1-2*x
Limit of the function 1-2*x
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 (1 - 2*x) x->1+
lim
x
→
1
+
(
1
−
2
x
)
\lim_{x \to 1^+}\left(1 - 2 x\right)
x
→
1
+
lim
(
1
−
2
x
)
Limit(1 - 2*x, x, 1)
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
-2.0
-1.5
-1.0
-0.5
2.0
0.0
0.5
1.0
1.5
-10
10
Plot the graph
One‐sided limits
[src]
lim (1 - 2*x) x->1+
lim
x
→
1
+
(
1
−
2
x
)
\lim_{x \to 1^+}\left(1 - 2 x\right)
x
→
1
+
lim
(
1
−
2
x
)
-1
−
1
-1
−
1
= -1.0
lim (1 - 2*x) x->1-
lim
x
→
1
−
(
1
−
2
x
)
\lim_{x \to 1^-}\left(1 - 2 x\right)
x
→
1
−
lim
(
1
−
2
x
)
-1
−
1
-1
−
1
= -1.0
= -1.0
Rapid solution
[src]
-1
−
1
-1
−
1
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim
x
→
1
−
(
1
−
2
x
)
=
−
1
\lim_{x \to 1^-}\left(1 - 2 x\right) = -1
x
→
1
−
lim
(
1
−
2
x
)
=
−
1
More at x→1 from the left
lim
x
→
1
+
(
1
−
2
x
)
=
−
1
\lim_{x \to 1^+}\left(1 - 2 x\right) = -1
x
→
1
+
lim
(
1
−
2
x
)
=
−
1
lim
x
→
∞
(
1
−
2
x
)
=
−
∞
\lim_{x \to \infty}\left(1 - 2 x\right) = -\infty
x
→
∞
lim
(
1
−
2
x
)
=
−
∞
More at x→oo
lim
x
→
0
−
(
1
−
2
x
)
=
1
\lim_{x \to 0^-}\left(1 - 2 x\right) = 1
x
→
0
−
lim
(
1
−
2
x
)
=
1
More at x→0 from the left
lim
x
→
0
+
(
1
−
2
x
)
=
1
\lim_{x \to 0^+}\left(1 - 2 x\right) = 1
x
→
0
+
lim
(
1
−
2
x
)
=
1
More at x→0 from the right
lim
x
→
−
∞
(
1
−
2
x
)
=
∞
\lim_{x \to -\infty}\left(1 - 2 x\right) = \infty
x
→
−
∞
lim
(
1
−
2
x
)
=
∞
More at x→-oo
Numerical answer
[src]
-1.0
-1.0
The graph