# Step-by-step Solution

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

## Step-by-step Solution

Problem to solve:

$\lim_{x\to\infty}\left(\frac{\sqrt{2x}+\sqrt{x}+\sqrt{x}}{\sqrt{x\sqrt{x}\sqrt{x}}}\right)$

Learn how to solve limits to infinity problems step by step online.

$\lim_{x\to\infty }\left(\frac{2\sqrt{x}+\sqrt{2x}}{\sqrt{x\cdot x}}\right)$

Learn how to solve limits to infinity problems step by step online. Find the limit (x)->(\infty)lim(((2x)^0.5+x^0.5+x^0.5)/((xx^0.5*x^0.5)^0.5)). When multiplying exponents with same base we can add the exponents. When multiplying two powers that have the same base (x), you can add the exponents. The power of a product is equal to the product of it's factors raised to the same power. The square root of 2 is \frac{2}{\sqrt{2}}.

## Final Answer

0
$\lim_{x\to\infty}\left(\frac{\sqrt{2x}+\sqrt{x}+\sqrt{x}}{\sqrt{x\sqrt{x}\sqrt{x}}}\right)$

### Main topic:

Limits to Infinity

~ 0.04 s