Mister Exam

Limit of the function sqrt(a)

at
v

For end points:

The graph:

from to

Piecewise:

The solution

You have entered [src]
       ___
 lim \/ a 
a->oo     
$$\lim_{a \to \infty} \sqrt{a}$$
Limit(sqrt(a), a, oo, dir='-')
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
Rapid solution [src]
oo
$$\infty$$
Other limits a→0, -oo, +oo, 1
$$\lim_{a \to \infty} \sqrt{a} = \infty$$
$$\lim_{a \to 0^-} \sqrt{a} = 0$$
More at a→0 from the left
$$\lim_{a \to 0^+} \sqrt{a} = 0$$
More at a→0 from the right
$$\lim_{a \to 1^-} \sqrt{a} = 1$$
More at a→1 from the left
$$\lim_{a \to 1^+} \sqrt{a} = 1$$
More at a→1 from the right
$$\lim_{a \to -\infty} \sqrt{a} = \infty i$$
More at a→-oo
The graph
Limit of the function sqrt(a)