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12-x
Limit of the function/ 12-x

Limit of the function 12-x

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The solution

You have entered [src] 
 lim (12 - x)
x->2+
lim⁡x→2+(12−x)\lim_{x \to 2^+}\left(12 - x\right) 
Limit(12 - x, x, 2)
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
-4.0-3.0-2.0-1.04.00.01.02.03.0020
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→2−(12−x)=10\lim_{x \to 2^-}\left(12 - x\right) = 10
More at x→2 from the left
lim⁡x→2+(12−x)=10\lim_{x \to 2^+}\left(12 - x\right) = 10
lim⁡x→∞(12−x)=−∞\lim_{x \to \infty}\left(12 - x\right) = -\infty
More at x→oo
lim⁡x→0−(12−x)=12\lim_{x \to 0^-}\left(12 - x\right) = 12
More at x→0 from the left
lim⁡x→0+(12−x)=12\lim_{x \to 0^+}\left(12 - x\right) = 12
More at x→0 from the right
lim⁡x→1−(12−x)=11\lim_{x \to 1^-}\left(12 - x\right) = 11
More at x→1 from the left
lim⁡x→1+(12−x)=11\lim_{x \to 1^+}\left(12 - x\right) = 11
More at x→1 from the right
lim⁡x→−∞(12−x)=∞\lim_{x \to -\infty}\left(12 - x\right) = \infty
More at x→-oo
Rapid solution [src] 
10
1010
Expand and simplify
One‐sided limits [src] 
 lim (12 - x)
x->2+
lim⁡x→2+(12−x)\lim_{x \to 2^+}\left(12 - x\right) 
10
1010 
= 10.0
 lim (12 - x)
x->2-
lim⁡x→2−(12−x)\lim_{x \to 2^-}\left(12 - x\right) 
10
1010 
= 10.0
= 10.0
Numerical answer [src] 
10.0
10.0
The graph
Limit of the function 12-x
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