Find the limit of $\frac{x^2-9}{x^2-x-6}$ as $x$ approaches 0

Step-by-step Solution

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Final answer to the problem

$\frac{3}{2}$
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Step-by-step Solution

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1

Evaluate the limit $\lim_{x\to0}\left(\frac{x^2-9}{x^2-x-6}\right)$ by replacing all occurrences of $x$ by $0$

$\frac{0^2-9}{0^2+0-6}$

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

$\frac{0^2-9}{0^2+0-6}$

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Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x^2-9)/(x^2-x+-6) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{x^2-9}{x^2-x-6}\right) by replacing all occurrences of x by 0. Subtract the values 0 and -6. Calculate the power 0^2. Subtract the values 0 and -6.

Final answer to the problem

$\frac{3}{2}$

Exact Numeric Answer

$1.5$

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Function Plot

Plotting: $\frac{x^2-9}{x^2-x-6}$

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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

How to improve your answer:

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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