Mister Exam
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How to use it?
Limit of the function
:
Limit of (-3+sqrt(5+x))/(-4+x)
Limit of (2*x/(-3+2*x))^(3*x)
Limit of ((-1+x)/(4+x))^(2+3*x)
Limit of (1-3*x+2*x^2)/(4+x+3*x^2)
Graphing y =
:
sqrt(x)
Derivative of
:
sqrt(x)
Sum of series
:
sqrt(x)
Identical expressions
sqrt(x)
square root of (x)
√(x)
sqrtx
Limit of the function
/
sqrt(x)
Limit of the function sqrt(x)
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 \/ x x->oo
lim
x
→
∞
x
\lim_{x \to \infty} \sqrt{x}
x
→
∞
lim
x
Limit(sqrt(x), x, 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
0
2
4
6
8
-8
-6
-4
-2
-10
10
0
5
Plot the graph
Other limits x→0, -oo, +oo, 1
lim
x
→
∞
x
=
∞
\lim_{x \to \infty} \sqrt{x} = \infty
x
→
∞
lim
x
=
∞
lim
x
→
0
−
x
=
0
\lim_{x \to 0^-} \sqrt{x} = 0
x
→
0
−
lim
x
=
0
More at x→0 from the left
lim
x
→
0
+
x
=
0
\lim_{x \to 0^+} \sqrt{x} = 0
x
→
0
+
lim
x
=
0
More at x→0 from the right
lim
x
→
1
−
x
=
1
\lim_{x \to 1^-} \sqrt{x} = 1
x
→
1
−
lim
x
=
1
More at x→1 from the left
lim
x
→
1
+
x
=
1
\lim_{x \to 1^+} \sqrt{x} = 1
x
→
1
+
lim
x
=
1
More at x→1 from the right
lim
x
→
−
∞
x
=
∞
i
\lim_{x \to -\infty} \sqrt{x} = \infty i
x
→
−
∞
lim
x
=
∞
i
More at x→-oo
Rapid solution
[src]
oo
∞
\infty
∞
Expand and simplify
The graph