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sign(x)
Limite d'une fonction/ sign(x)

Limite d'une fonction sign(x)

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Fonction définie par morceaux:

Solution

You have entered [src] 
 lim sign(x)
x->0+
$$\lim_{x \to 0^+} \operatorname{sign}{\left(x \right)}$$ 
Limit(sign(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
Plot the graph
Rapid solution [src] 
1
$$1$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \operatorname{sign}{\left(x \right)} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \operatorname{sign}{\left(x \right)} = 1$$
$$\lim_{x \to \infty} \operatorname{sign}{\left(x \right)} = 1$$
More at x→oo
$$\lim_{x \to 1^-} \operatorname{sign}{\left(x \right)} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \operatorname{sign}{\left(x \right)} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \operatorname{sign}{\left(x \right)} = -1$$
More at x→-oo
One‐sided limits [src] 
 lim sign(x)
x->0+
$$\lim_{x \to 0^+} \operatorname{sign}{\left(x \right)}$$ 
1
$$1$$ 
= 1.0
 lim sign(x)
x->0-
$$\lim_{x \to 0^-} \operatorname{sign}{\left(x \right)}$$ 
-1
$$-1$$ 
= -1.0
= -1.0
Numerical answer [src] 
1.0
1.0
Graphique
Limite d'une fonction sign(x)
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