Mister Exam
Other calculators:
-
How to use it?
- Limit of the function:
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Limit of (1+x)^2/(-1+x)^2
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Limit of log((-1+x)/(-2+x))
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Limit of asin(3*x^2)/(1-cos(2*x))
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Limit of -tan(x)+sin(x)/x
- Graphing y =:
- 1/|x|
- Integral of d{x}:
- 1/|x|
- Derivative of:
- 1/|x|
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Identical expressions
- one /|x|
- 1 divide by module of x|
- one divide by module of x|
- 1 divide by |x|
Limit of the function 1/|x|
The solution
You have entered
[src]
1 lim --- x->0+|x|
$$\lim_{x \to 0^+} \frac{1}{\left|{x}\right|}$$
Limit(1/|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
$$\lim_{x \to 0^-} \frac{1}{\left|{x}\right|} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\left|{x}\right|} = \infty$$
$$\lim_{x \to \infty} \frac{1}{\left|{x}\right|} = 0$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{\left|{x}\right|} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\left|{x}\right|} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\left|{x}\right|} = 0$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{\left|{x}\right|} = \infty$$
$$\lim_{x \to \infty} \frac{1}{\left|{x}\right|} = 0$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{\left|{x}\right|} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{\left|{x}\right|} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{\left|{x}\right|} = 0$$
More at x→-oo
One‐sided limits
[src]
1 lim --- x->0+|x|
$$\lim_{x \to 0^+} \frac{1}{\left|{x}\right|}$$
oo
$$\infty$$
= 151.0
1 lim --- x->0-|x|
$$\lim_{x \to 0^-} \frac{1}{\left|{x}\right|}$$
oo
$$\infty$$
= 151.0
= 151.0
The graph