Mister Exam

Autres calculateurs:

Limite d'une fonction sqrt(y)

lorsque
v

Pour les points finis:

Graphique:

de à

Fonction définie par morceaux:

Solution

You have entered [src]
       ___
 lim \/ y 
y->y+     
$$\lim_{y \to y^+} \sqrt{y}$$
Limit(sqrt(y), y, y)
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
Rapid solution [src]
oo
$$\infty$$
Other limits y→0, -oo, +oo, 1
$$\lim_{y \to y^-} \sqrt{y} = \infty$$
More at y→y from the left
$$\lim_{y \to y^+} \sqrt{y} = \infty$$
$$\lim_{y \to \infty} \sqrt{y} = \infty$$
More at y→oo
$$\lim_{y \to 0^-} \sqrt{y} = 0$$
More at y→0 from the left
$$\lim_{y \to 0^+} \sqrt{y} = 0$$
More at y→0 from the right
$$\lim_{y \to 1^-} \sqrt{y} = 1$$
More at y→1 from the left
$$\lim_{y \to 1^+} \sqrt{y} = 1$$
More at y→1 from the right
$$\lim_{y \to -\infty} \sqrt{y} = \infty i$$
More at y→-oo
One‐sided limits [src]
       ___
 lim \/ y 
y->y+     
$$\lim_{y \to y^+} \sqrt{y}$$
oo
$$\infty$$
       ___
 lim \/ y 
y->y-     
$$\lim_{y \to y^-} \sqrt{y}$$
oo
$$\infty$$
oo