Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-4+x^2)/(x^3+2*x)
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Limit of (-12+x^2+4*x)/(-4+x^2)
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Limit of (-4+x^2+3*x)/(-3+x^2+2*x)
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Limit of (-10+x^2+3*x)/(16+x^2-10*x)
- Graphing y =:
- 12+x
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Identical expressions
- twelve +x
- 12 plus x
- twelve plus x
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Similar expressions
- 12-x
Limit of the function 12+x
The solution
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lim (12 + x) x->0+
$$\lim_{x \to 0^+}\left(x + 12\right)$$
Limit(12 + x, x, 0)
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(x + 12\right) = 12$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + 12\right) = 12$$
$$\lim_{x \to \infty}\left(x + 12\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x + 12\right) = 13$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + 12\right) = 13$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + 12\right) = -\infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + 12\right) = 12$$
$$\lim_{x \to \infty}\left(x + 12\right) = \infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(x + 12\right) = 13$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + 12\right) = 13$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + 12\right) = -\infty$$
More at x→-oo
One‐sided limits
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lim (12 + x) x->0+
$$\lim_{x \to 0^+}\left(x + 12\right)$$
12
$$12$$
= 12.0
lim (12 + x) x->0-
$$\lim_{x \to 0^-}\left(x + 12\right)$$
12
$$12$$
= 12.0
= 12.0
The graph