Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
-
Limit of x^(1/3)
-
Limit of |x|
-
Limit of 16
-
Limit of sin(x)
- Derivative of:
-
|x|
- Integral of d{x}:
- |x|
- Graphing y =:
- |x|
-
Identical expressions
- |x|
- module of x|
Limit of the function |x|
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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -\infty} \left|{x}\right| = \infty$$
$$\lim_{x \to \infty} \left|{x}\right| = \infty$$
More at x→oo
$$\lim_{x \to 0^-} \left|{x}\right| = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \left|{x}\right| = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \left|{x}\right| = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \left|{x}\right| = 1$$
More at x→1 from the right
$$\lim_{x \to \infty} \left|{x}\right| = \infty$$
More at x→oo
$$\lim_{x \to 0^-} \left|{x}\right| = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+} \left|{x}\right| = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-} \left|{x}\right| = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \left|{x}\right| = 1$$
More at x→1 from the right
The graph