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Limit of the function
:
Limit of (-8+x^2+2*x)/(8-x^3)
Limit of (-asin(x)+2*x)/(2*x+atan(x))
Limit of 2^(-n)*2^(1+n)
Limit of (1+3/x)^(3*x)
Derivative of
:
1-5*x
Integral of d{x}
:
1-5*x
Identical expressions
one - five *x
1 minus 5 multiply by x
one minus five multiply by x
1-5x
Similar expressions
1+5*x
Limit of the function
/
1-5*x
Limit of the function 1-5*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 - 5*x) x->0+
lim
x
→
0
+
(
−
5
x
+
1
)
\lim_{x \to 0^+}\left(- 5 x + 1\right)
x
→
0
+
lim
(
−
5
x
+
1
)
Limit(1 - 5*x, 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
0
2
4
6
8
-8
-6
-4
-2
-10
10
-100
100
Plot the graph
Rapid solution
[src]
1
1
1
1
Expand and simplify
One‐sided limits
[src]
lim (1 - 5*x) x->0+
lim
x
→
0
+
(
−
5
x
+
1
)
\lim_{x \to 0^+}\left(- 5 x + 1\right)
x
→
0
+
lim
(
−
5
x
+
1
)
1
1
1
1
= 1
lim (1 - 5*x) x->0-
lim
x
→
0
−
(
−
5
x
+
1
)
\lim_{x \to 0^-}\left(- 5 x + 1\right)
x
→
0
−
lim
(
−
5
x
+
1
)
1
1
1
1
= 1
= 1
Other limits x→0, -oo, +oo, 1
lim
x
→
0
−
(
−
5
x
+
1
)
=
1
\lim_{x \to 0^-}\left(- 5 x + 1\right) = 1
x
→
0
−
lim
(
−
5
x
+
1
)
=
1
More at x→0 from the left
lim
x
→
0
+
(
−
5
x
+
1
)
=
1
\lim_{x \to 0^+}\left(- 5 x + 1\right) = 1
x
→
0
+
lim
(
−
5
x
+
1
)
=
1
lim
x
→
∞
(
−
5
x
+
1
)
=
−
∞
\lim_{x \to \infty}\left(- 5 x + 1\right) = -\infty
x
→
∞
lim
(
−
5
x
+
1
)
=
−
∞
More at x→oo
lim
x
→
1
−
(
−
5
x
+
1
)
=
−
4
\lim_{x \to 1^-}\left(- 5 x + 1\right) = -4
x
→
1
−
lim
(
−
5
x
+
1
)
=
−
4
More at x→1 from the left
lim
x
→
1
+
(
−
5
x
+
1
)
=
−
4
\lim_{x \to 1^+}\left(- 5 x + 1\right) = -4
x
→
1
+
lim
(
−
5
x
+
1
)
=
−
4
More at x→1 from the right
lim
x
→
−
∞
(
−
5
x
+
1
)
=
∞
\lim_{x \to -\infty}\left(- 5 x + 1\right) = \infty
x
→
−
∞
lim
(
−
5
x
+
1
)
=
∞
More at x→-oo
Numerical answer
[src]
1.0
1.0
The graph