Mister Exam

Other calculators:

-2*x
Limit of the function/ -2*x

Limit of the function -2*x

at →
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 lim (-2*x)
x->0+
lim⁡x→0+(−2x)\lim_{x \to 0^+}\left(- 2 x\right) 
Limit(-2*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
02468-8-6-4-2-1010-5050
Plot the graph
Rapid solution [src] 
0
00
Expand and simplify
One‐sided limits [src] 
 lim (-2*x)
x->0+
lim⁡x→0+(−2x)\lim_{x \to 0^+}\left(- 2 x\right) 
0
00 
= -1.71127851547238e-32
 lim (-2*x)
x->0-
lim⁡x→0−(−2x)\lim_{x \to 0^-}\left(- 2 x\right) 
0
00 
= 1.71127851547238e-32
= 1.71127851547238e-32
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(−2x)=0\lim_{x \to 0^-}\left(- 2 x\right) = 0
More at x→0 from the left
lim⁡x→0+(−2x)=0\lim_{x \to 0^+}\left(- 2 x\right) = 0
lim⁡x→∞(−2x)=−∞\lim_{x \to \infty}\left(- 2 x\right) = -\infty
More at x→oo
lim⁡x→1−(−2x)=−2\lim_{x \to 1^-}\left(- 2 x\right) = -2
More at x→1 from the left
lim⁡x→1+(−2x)=−2\lim_{x \to 1^+}\left(- 2 x\right) = -2
More at x→1 from the right
lim⁡x→−∞(−2x)=∞\lim_{x \to -\infty}\left(- 2 x\right) = \infty
More at x→-oo
Numerical answer [src] 
-1.71127851547238e-32
-1.71127851547238e-32
The graph
Limit of the function -2*x
    © Mister Exam – Calculator