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Algebra Baldor
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Find the limit of $\frac{x^3-9x}{x^2-3x}$ as $x$ approaches $3$

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Solution

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Final answer to the problem

$6$
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Step-by-step Solution

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Learn how to solve limits by factoring problems step by step online. Find the limit of (x^3-9x)/(x^2-3x) as x approaches 3. Factor the polynomial x^3-9x by it's greatest common factor (GCF): x. Factor the polynomial x^2-3x by it's greatest common factor (GCF): x. Simplify the fraction \frac{x\left(x^2-9\right)}{x\left(x-3\right)} by x. Factor the difference of squares x^2-9 as the product of two conjugated binomials.

Final answer to the problem

$6$

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Function Plot

Plotting: $\frac{x^3-9x}{x^2-3x}$

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(◻)
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◻/◻
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÷
◻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

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Main Topic: Limits by Factoring

Limits that require factorization techniques to solve them.

Used Formulas

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