Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of (-2+sqrt(x))/(-4+x^2)
-
Limit of (-exp(-x)+exp(x))/(exp(x)+exp(-x))
-
Limit of x+2*x^3+5*x^4-x^2/3
-
Limit of (-x^3+2*x+5*x^4)/(1+x^4-8*x^3)
- Graphing y =:
- 12+x
-
Identical expressions
- twelve +x
- 12 plus x
- twelve plus x
-
Similar expressions
- 12-x
Limit of the function 12+x
The solution
You have entered
[src]
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
[src]
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