Mister Exam
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How to use it?
Limit of the function
:
Limit of (-8+x^2+2*x)/(8-x^3)
Limit of (-asin(x)+2*x)/(2*x+atan(x))
Limit of 2^(-n)*2^(1+n)
Limit of (1+3/x)^(3*x)
Derivative of
:
2*sqrt(x)
Integral of d{x}
:
2*sqrt(x)
2*sqrt(x)
Identical expressions
two *sqrt(x)
2 multiply by square root of (x)
two multiply by square root of (x)
2*√(x)
2sqrt(x)
2sqrtx
Similar expressions
sqrt(-1+2*x)-sqrt(2)*sqrt(x)
x-7/(6+sqrt(2)*sqrt(x))
-1/3+x+sqrt(2)*sqrt(x)
5+sqrt(3)*sqrt(x)-sqrt(2)*sqrt(x)
tan(13*x)^(sqrt(2)*sqrt(x))
Limit of the function
/
2*sqrt(x)
Limit of the function 2*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 \2*\/ x / x->oo
lim
x
→
∞
(
2
x
)
\lim_{x \to \infty}\left(2 \sqrt{x}\right)
x
→
∞
lim
(
2
x
)
Limit(2*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
10
Plot the graph
Other limits x→0, -oo, +oo, 1
lim
x
→
∞
(
2
x
)
=
∞
\lim_{x \to \infty}\left(2 \sqrt{x}\right) = \infty
x
→
∞
lim
(
2
x
)
=
∞
lim
x
→
0
−
(
2
x
)
=
0
\lim_{x \to 0^-}\left(2 \sqrt{x}\right) = 0
x
→
0
−
lim
(
2
x
)
=
0
More at x→0 from the left
lim
x
→
0
+
(
2
x
)
=
0
\lim_{x \to 0^+}\left(2 \sqrt{x}\right) = 0
x
→
0
+
lim
(
2
x
)
=
0
More at x→0 from the right
lim
x
→
1
−
(
2
x
)
=
2
\lim_{x \to 1^-}\left(2 \sqrt{x}\right) = 2
x
→
1
−
lim
(
2
x
)
=
2
More at x→1 from the left
lim
x
→
1
+
(
2
x
)
=
2
\lim_{x \to 1^+}\left(2 \sqrt{x}\right) = 2
x
→
1
+
lim
(
2
x
)
=
2
More at x→1 from the right
lim
x
→
−
∞
(
2
x
)
=
∞
i
\lim_{x \to -\infty}\left(2 \sqrt{x}\right) = \infty i
x
→
−
∞
lim
(
2
x
)
=
∞
i
More at x→-oo
Rapid solution
[src]
oo
∞
\infty
∞
Expand and simplify
The graph