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1/(2-x)
Limit of the function/ 1/(2-x)

Limit of the function 1/(2-x)

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The solution

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       1  
 lim -----
x->2+2 - x
lim⁡x→2+12−x\lim_{x \to 2^+} \frac{1}{2 - x} 
Limit(1/(2 - 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
-4.0-3.0-2.0-1.04.00.01.02.03.0-200200
Plot the graph
Other limits x→0, -oo, +oo, 1
lim⁡x→2−12−x=−∞\lim_{x \to 2^-} \frac{1}{2 - x} = -\infty
More at x→2 from the left
lim⁡x→2+12−x=−∞\lim_{x \to 2^+} \frac{1}{2 - x} = -\infty
lim⁡x→∞12−x=0\lim_{x \to \infty} \frac{1}{2 - x} = 0
More at x→oo
lim⁡x→0−12−x=12\lim_{x \to 0^-} \frac{1}{2 - x} = \frac{1}{2}
More at x→0 from the left
lim⁡x→0+12−x=12\lim_{x \to 0^+} \frac{1}{2 - x} = \frac{1}{2}
More at x→0 from the right
lim⁡x→1−12−x=1\lim_{x \to 1^-} \frac{1}{2 - x} = 1
More at x→1 from the left
lim⁡x→1+12−x=1\lim_{x \to 1^+} \frac{1}{2 - x} = 1
More at x→1 from the right
lim⁡x→−∞12−x=0\lim_{x \to -\infty} \frac{1}{2 - x} = 0
More at x→-oo
One‐sided limits [src] 
       1  
 lim -----
x->2+2 - x
lim⁡x→2+12−x\lim_{x \to 2^+} \frac{1}{2 - x} 
-oo
−∞-\infty 
= -151.0
       1  
 lim -----
x->2-2 - x
lim⁡x→2−12−x\lim_{x \to 2^-} \frac{1}{2 - x} 
oo
∞\infty 
= 151.0
= 151.0
Rapid solution [src] 
-oo
−∞-\infty
Expand and simplify
Numerical answer [src] 
-151.0
-151.0
The graph
Limit of the function 1/(2-x)
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