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$\lim_{x\to1}\left(\frac{x^3-1}{x^3+2x^2-3x}\right)$

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Solution

Videos

Calculus - Evaluating a limit by rationalizing the radical, lim(x tends to 0) (sqrt(x + 1) - 1)/x

https://www.youtube.com/watch?v=v8dIvXm03dw

Calculus - Learn how to evaluate a limit by factoring, lim(x tends to -1) (x^2 - 5x - 6)/(x + 1)

https://www.youtube.com/watch?v=-nTo1qgNDLE

Calculus - Evaluating a limit by factoring, lim(x tends to -1) (x^2 + 4x + 3)/(x + 1)

https://www.youtube.com/watch?v=klQ7xZ0PU5U

Calculus - Evaluating the limit of a continuous function, lim(x tends to 5) (x + 1)

https://www.youtube.com/watch?v=CvzzXuAD_AE

Calculus - Evaluating a limit by factoring difference of two cubes, lim(x tends to 1) (x^3 -1)/(x-1)

https://www.youtube.com/watch?v=jwJwubrcivU

Example 4: Adding and subtracting polynomials | Algebra I | Khan Academy

https://www.youtube.com/watch?v=DMyhUb1pZT0

Function Plot

Plotting: $\frac{x^3-1}{x^3+2x^2-3x}$

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a
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c
d
f
g
m
n
u
v
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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

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Main Topic: Limites par substitution directe

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