$\lim_{x\to\infty }\left(\frac{\sqrt[3]{6x^2-x^3}+x}{2.1}\right)$

Step-by-step Solution

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Final answer to the problem

$invfrac\left(2.1\right)\left(c-f\right)$
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Step-by-step Solution

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Apply the formula: $\frac{x}{a}$$=xinvfrac\left(a\right)$, where $a=\frac{21}{10}$, $x=\sqrt[3]{6x^2-x^3}+x$ and $x/a=\frac{\sqrt[3]{6x^2-x^3}+x}{2.1}$

$\lim_{x\to\infty }\left(invfrac\left(2.1\right)\left(\sqrt[3]{6x^2-x^3}+x\right)\right)$

Learn how to solve les limites de l'infini problems step by step online.

$\lim_{x\to\infty }\left(invfrac\left(2.1\right)\left(\sqrt[3]{6x^2-x^3}+x\right)\right)$

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Learn how to solve les limites de l'infini problems step by step online. (x)->(infinity)lim(((6x^2-x^3)^(1/3)+x)/2.1). Apply the formula: \frac{x}{a}=xinvfrac\left(a\right), where a=\frac{21}{10}, x=\sqrt[3]{6x^2-x^3}+x and x/a=\frac{\sqrt[3]{6x^2-x^3}+x}{2.1}. Factor the polynomial 6x^2-x^3 by it's greatest common factor (GCF): x^2. Apply the formula: \left(ab\right)^n=a^nb^n. Simplify \sqrt[3]{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{3}.

Final answer to the problem

$invfrac\left(2.1\right)\left(c-f\right)$

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Function Plot

Plotting: $\frac{\sqrt[3]{6x^2-x^3}+x}{2.1}$

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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
|◻|
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

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