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Find the limit of $\sqrt{x}\left(\sqrt{x+3}-\sqrt{x}\right)$ as $x$ approaches $\infty $

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Solution

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Final answer to the problem

$c-f$
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Learn how to solve limits by rationalizing problems step by step online. Find the limit of x^(1/2)((x+3)^(1/2)-x^(1/2)) as x approaches infinity. Multiplying polynomials \sqrt{x} and \sqrt{x+3}-\sqrt{x}. Applying rationalisation. Multiply and simplify the expression within the limit. The power of a product is equal to the product of it's factors raised to the same power.

Final answer to the problem

$c-f$

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Function Plot

Plotting: $\sqrt{x}\left(\sqrt{x+3}-\sqrt{x}\right)$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

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Main Topic: Limits by Rationalizing

Limits that require that we apply rationalization to solve them.

Used Formulas

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