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-1/3
Limit of the function/ -1/3

Limit of the function -1/3

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The solution

You have entered [src] 
 lim (-1/3)
x->2+
lim⁡x→2+−13\lim_{x \to 2^+} - \frac{1}{3} 
Limit(-1/3, 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
-1.0-0.8-0.6-0.4-0.21.00.00.20.40.60.8-0.34-0.32
Plot the graph
Rapid solution [src] 
-1/3
−13- \frac{1}{3}
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→2−−13=−13\lim_{x \to 2^-} - \frac{1}{3} = - \frac{1}{3}
More at x→2 from the left
lim⁡x→2+−13=−13\lim_{x \to 2^+} - \frac{1}{3} = - \frac{1}{3}
lim⁡x→∞−13=−13\lim_{x \to \infty} - \frac{1}{3} = - \frac{1}{3}
More at x→oo
lim⁡x→0−−13=−13\lim_{x \to 0^-} - \frac{1}{3} = - \frac{1}{3}
More at x→0 from the left
lim⁡x→0+−13=−13\lim_{x \to 0^+} - \frac{1}{3} = - \frac{1}{3}
More at x→0 from the right
lim⁡x→1−−13=−13\lim_{x \to 1^-} - \frac{1}{3} = - \frac{1}{3}
More at x→1 from the left
lim⁡x→1+−13=−13\lim_{x \to 1^+} - \frac{1}{3} = - \frac{1}{3}
More at x→1 from the right
lim⁡x→−∞−13=−13\lim_{x \to -\infty} - \frac{1}{3} = - \frac{1}{3}
More at x→-oo
One‐sided limits [src] 
 lim (-1/3)
x->2+
lim⁡x→2+−13\lim_{x \to 2^+} - \frac{1}{3} 
-1/3
−13- \frac{1}{3} 
= -0.333333333333333
 lim (-1/3)
x->2-
lim⁡x→2−−13\lim_{x \to 2^-} - \frac{1}{3} 
-1/3
−13- \frac{1}{3} 
= -0.333333333333333
= -0.333333333333333
Numerical answer [src] 
-0.333333333333333
-0.333333333333333
The graph
Limit of the function -1/3
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