Mister Exam

Limit of the function -12

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The solution

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 lim (-12)
x->4+     
limx4+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
One‐sided limits [src]
 lim (-12)
x->4+     
limx4+12\lim_{x \to 4^+} -12
-12
12-12
= -12
 lim (-12)
x->4-     
limx412\lim_{x \to 4^-} -12
-12
12-12
= -12
= -12
Rapid solution [src]
-12
12-12
Other limits x→0, -oo, +oo, 1
limx412=12\lim_{x \to 4^-} -12 = -12
More at x→4 from the left
limx4+12=12\lim_{x \to 4^+} -12 = -12
limx12=12\lim_{x \to \infty} -12 = -12
More at x→oo
limx012=12\lim_{x \to 0^-} -12 = -12
More at x→0 from the left
limx0+12=12\lim_{x \to 0^+} -12 = -12
More at x→0 from the right
limx112=12\lim_{x \to 1^-} -12 = -12
More at x→1 from the left
limx1+12=12\lim_{x \to 1^+} -12 = -12
More at x→1 from the right
limx12=12\lim_{x \to -\infty} -12 = -12
More at x→-oo
Numerical answer [src]
-12
-12
The graph
Limit of the function -12