Mister Exam
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Limit of the function
:
Limit of (-2+2*x^2+log(x))/(e^x-e)
Limit of (-x^2+4*x)/(2-sqrt(x))
Limit of ((2+3*x)/(-1+3*x))^(-1+4*x)
Limit of (3-x+2*x^2)/(5+x^3-8*x)
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+
$$\lim_{x \to 1^+}\left(1 - 2 x\right)$$
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
Plot the graph
One‐sided limits
[src]
lim (1 - 2*x) x->1+
$$\lim_{x \to 1^+}\left(1 - 2 x\right)$$
-1
$$-1$$
= -1.0
lim (1 - 2*x) x->1-
$$\lim_{x \to 1^-}\left(1 - 2 x\right)$$
-1
$$-1$$
= -1.0
= -1.0
Rapid solution
[src]
-1
$$-1$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-}\left(1 - 2 x\right) = -1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(1 - 2 x\right) = -1$$
$$\lim_{x \to \infty}\left(1 - 2 x\right) = -\infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(1 - 2 x\right) = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(1 - 2 x\right) = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty}\left(1 - 2 x\right) = \infty$$
More at x→-oo
Numerical answer
[src]
-1.0
-1.0
The graph