Try NerdPal: our new app on iOS and Android !

# Step-by-step Solution

Go!
Go!
1
2
3
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

$-\frac{2}{5}$$\,\,\left(\approx -0.4\right) Got a different answer? Try our new Answer Assistant! ## Step-by-step Solution Problem to solve: \lim_{x\to3}\left(\frac{x^2-1\cdot 8\cdot x+7}{x^3-1\cdot 3\cdot x+2}\right) Choose the solving method 1 Simplifying \lim_{x\to3}\left(\frac{x^2-8x+7}{x^3-3x+2}\right) Learn how to solve limits by direct substitution problems step by step online. \lim_{x\to3}\left(\frac{x^2-8x+7}{x^3-3x+2}\right) Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(3)lim((x^2-*8*x+7)/(x^3-*3*x+2)). Simplifying. Evaluate the limit \lim_{x\to3}\left(\frac{x^2-8x+7}{x^3-3x+2}\right) by replacing all occurrences of x by 3. Simplifying, we get. ## Final Answer -\frac{2}{5}$$\,\,\left(\approx -0.4\right)$
SnapXam A2

Go!
1
2
3
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

### Tips on how to improve your answer:

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

### Main topic:

Limits by direct substitution

~ 0.05 s