Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of -cos(x)+5*x
-
Limit of (-30+x^2-x)/(125+x^3)
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Limit of sin(9*x)
- Limit of cot(pi*x)
- -12
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Identical expressions
- - twelve
- minus 12
- minus twelve
-
Similar expressions
- 12
Limit of the function -12
The solution
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
One‐sided limits
[src]
lim (-12) x->4+
$$\lim_{x \to 4^+} -12$$
-12
$$-12$$
= -12
lim (-12) x->4-
$$\lim_{x \to 4^-} -12$$
-12
$$-12$$
= -12
= -12
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 4^-} -12 = -12$$
More at x→4 from the left
$$\lim_{x \to 4^+} -12 = -12$$
$$\lim_{x \to \infty} -12 = -12$$
More at x→oo
$$\lim_{x \to 0^-} -12 = -12$$
More at x→0 from the left
$$\lim_{x \to 0^+} -12 = -12$$
More at x→0 from the right
$$\lim_{x \to 1^-} -12 = -12$$
More at x→1 from the left
$$\lim_{x \to 1^+} -12 = -12$$
More at x→1 from the right
$$\lim_{x \to -\infty} -12 = -12$$
More at x→-oo
More at x→4 from the left
$$\lim_{x \to 4^+} -12 = -12$$
$$\lim_{x \to \infty} -12 = -12$$
More at x→oo
$$\lim_{x \to 0^-} -12 = -12$$
More at x→0 from the left
$$\lim_{x \to 0^+} -12 = -12$$
More at x→0 from the right
$$\lim_{x \to 1^-} -12 = -12$$
More at x→1 from the left
$$\lim_{x \to 1^+} -12 = -12$$
More at x→1 from the right
$$\lim_{x \to -\infty} -12 = -12$$
More at x→-oo
The graph