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# Find the limit $\lim_{x\to3}\left(\frac{x^2+1\cdot -8x+7}{x^3+1\cdot -3x+2}\right)$

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##  Final Answer

$-\frac{2}{5}$
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##  Step-by-step Solution 

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We could not solve this problem by using the method: Limits by L'Hôpital's rule

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Simplifying

$\lim_{x\to3}\left(\frac{x^2-8x+7}{x^3-3x+2}\right)$

Learn how to solve limits by direct substitution problems step by step online.

$\lim_{x\to3}\left(\frac{x^2-8x+7}{x^3-3x+2}\right)$

Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(3)lim((x^2+1*-8x+7)/(x^3+1*-3x+2)). Simplifying. Evaluate the limit \lim_{x\to3}\left(\frac{x^2-8x+7}{x^3-3x+2}\right) by replacing all occurrences of x by 3. Multiply -3 times 3. Subtract the values 2 and -9.

##  Final Answer

$-\frac{2}{5}$

##  Exact Numeric Answer

$-0.4$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Limits by Direct SubstitutionLimits by factoringLimits by rationalizing

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1
2
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4
5
6
7
8
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

### 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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