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

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Solution

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Final answer to the problem

$-3$
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Step-by-step Solution

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1

Factor the trinomial $x^2-3x+2$ finding two numbers that multiply to form $2$ and added form $-3$

$\begin{matrix}\left(-1\right)\left(-2\right)=2\\ \left(-1\right)+\left(-2\right)=-3\end{matrix}$

Learn how to solve limiti per sostituzione diretta problems step by step online.

$\begin{matrix}\left(-1\right)\left(-2\right)=2\\ \left(-1\right)+\left(-2\right)=-3\end{matrix}$

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Learn how to solve limiti per sostituzione diretta problems step by step online. (x)->(1)lim((x^2+x+-2)/(x^2-3x+2)). Factor the trinomial x^2-3x+2 finding two numbers that multiply to form 2 and added form -3. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Factor the trinomial x^2+x-2 finding two numbers that multiply to form -2 and added form 1. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values.

Final answer to the problem

$-3$

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

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0
a
b
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f
g
m
n
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x
y
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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: Limiti per sostituzione diretta

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