Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of -2+x^3+6*x
-
Limit of ((-2+x)/x)^(2*x)
-
Limit of (-2+x)*log(-2+x)
-
Limit of -6+x^2+5*x
- Graphing y =:
-
18/x
- Derivative of:
-
18/x
-
Identical expressions
- eighteen /x
- 18 divide by x
- eighteen divide by x
Limit of the function 18/x
The solution
You have entered
[src]
/18\ lim |--| x->0+\x /
$$\lim_{x \to 0^+}\left(\frac{18}{x}\right)$$
Limit(18/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
$$\lim_{x \to 0^-}\left(\frac{18}{x}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{18}{x}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{18}{x}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{18}{x}\right) = 18$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{18}{x}\right) = 18$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{18}{x}\right) = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{18}{x}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{18}{x}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{18}{x}\right) = 18$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{18}{x}\right) = 18$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{18}{x}\right) = 0$$
More at x→-oo
One‐sided limits
[src]
/18\ lim |--| x->0+\x /
$$\lim_{x \to 0^+}\left(\frac{18}{x}\right)$$
oo
$$\infty$$
= 2718.0
/18\ lim |--| x->0-\x /
$$\lim_{x \to 0^-}\left(\frac{18}{x}\right)$$
-oo
$$-\infty$$
= -2718.0
= -2718.0
The graph