Find the limit of $\frac{-x^3+4x^2-x-4}{\sqrt[3]{12-x^2}\left|16-x^2\right|}$ as $x$ approaches $+4$

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Final answer to the problem

$\frac{-1- +4}{\left|16- +4^2\right|\sqrt[3]{12- +4^2}}$
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Evaluate the limit $\lim_{x\to+4}\left(\frac{-x^3+4x^2-x-4}{\sqrt[3]{12-x^2}\left|16-x^2\right|}\right)$ by replacing all occurrences of $x$ by $+4$

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$\frac{- +4^3+4\cdot +4^2- +4-4}{\left|16- +4^2\right|\sqrt[3]{12- +4^2}}$

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Learn how to solve limits by direct substitution problems step by step online. Find the limit of (-x^3+4x^2-x+-4)/(abs(16-x^2)(12-x^2)^(1/3)) as x approaches +4. Evaluate the limit \lim_{x\to+4}\left(\frac{-x^3+4x^2-x-4}{\sqrt[3]{12-x^2}\left|16-x^2\right|}\right) by replacing all occurrences of x by +4. Combining like terms - +4^3 and 4\cdot +4^2. Subtract the values 3 and -4.

Final answer to the problem

$\frac{-1- +4}{\left|16- +4^2\right|\sqrt[3]{12- +4^2}}$

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Function Plot

Plotting: $\frac{-x^3+4x^2-x-4}{\sqrt[3]{12-x^2}\left|16-x^2\right|}$

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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
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

How to improve your answer:

Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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