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-12
Limit of the function/ -12

Limit of the function -12

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The solution

You have entered [src] 
 lim (-12)
x->4+
lim⁡x→4+−12\lim_{x \to 4^+} -12 
Limit(-12, x, 4)
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
-1.0-0.8-0.6-0.4-0.21.00.00.20.40.60.8-12.00-11.99
Plot the graph
One‐sided limits [src] 
 lim (-12)
x->4+
lim⁡x→4+−12\lim_{x \to 4^+} -12 
-12
−12-12 
= -12
 lim (-12)
x->4-
lim⁡x→4−−12\lim_{x \to 4^-} -12 
-12
−12-12 
= -12
= -12
Rapid solution [src] 
-12
−12-12
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→4−−12=−12\lim_{x \to 4^-} -12 = -12
More at x→4 from the left
lim⁡x→4+−12=−12\lim_{x \to 4^+} -12 = -12
lim⁡x→∞−12=−12\lim_{x \to \infty} -12 = -12
More at x→oo
lim⁡x→0−−12=−12\lim_{x \to 0^-} -12 = -12
More at x→0 from the left
lim⁡x→0+−12=−12\lim_{x \to 0^+} -12 = -12
More at x→0 from the right
lim⁡x→1−−12=−12\lim_{x \to 1^-} -12 = -12
More at x→1 from the left
lim⁡x→1+−12=−12\lim_{x \to 1^+} -12 = -12
More at x→1 from the right
lim⁡x→−∞−12=−12\lim_{x \to -\infty} -12 = -12
More at x→-oo
Numerical answer [src] 
-12
-12
The graph
Limit of the function -12
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