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

Step-by-step Solution

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Final Answer

$3$
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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.

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

Unlock this full step-by-step solution!

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
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0
a
b
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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

Time to solve it:

~ 0.04 s