Mister Exam
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Limit of the function
:
Limit of (1-cos(4*x))/(5*x)
Limit of -2+|-2+x|/x
Limit of 9-4*e^x
Limit of 1+13*x/5
Sum of series
:
sqrt(a)
Identical expressions
sqrt(a)
square root of (a)
√(a)
sqrta
Similar expressions
(sin(x)+tan(x))/(sqrt(a^2+x^2)-a)
log(2+sqrt(atan(x)*sin(1/x)))
(sqrt(x-b)-sqrt(a-b))/(x^2-a^2)
(sqrt(a*x)-x)/(x-a)
Limit of the function
/
sqrt(a)
Limit of the function sqrt(a)
at
→
Calculate the limit!
v
For end points:
---------
From the left (x0-)
From the right (x0+)
The graph:
from
to
Piecewise:
{
enter the piecewise function here
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
Plot the graph
Rapid solution
[src]
oo
$$\infty$$
Expand and simplify
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