Try NerdPal! Our new app on iOS and Android

# Find the limit of $\frac{x^2-x-2}{x-2}$ as $x$ approaches $2$

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

## Final Answer

$3$
Got another answer? Verify it here

## Step-by-step Solution

Problem to solve:

$\lim_{x\to2}\left(\frac{x^2-x-2}{x-2}\right)$

Choose the solving method

1

Factor the trinomial $x^2-x-2$ finding two numbers that multiply to form $-2$ and added form $-1$

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

Learn how to solve limits by factoring problems step by step online.

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

Learn how to solve limits by factoring problems step by step online. Find the limit of (x^2-x-2)/(x-2) as x approaches 2. Factor the trinomial x^2-x-2 finding two numbers that multiply to form -2 and added form -1. Thus. Simplifying. Evaluate the limit \lim_{x\to2}\left(x+1\right) by replacing all occurrences of x by 2.

## Final Answer

$3$
SnapXam A2
Answer Assistant

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:

$\lim_{x\to2}\left(\frac{x^2-x-2}{x-2}\right)$

### Main topic:

Limits by factoring

~ 0.04 s