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# Find the limit $\lim_{x\to-1}\left(\frac{x^2+6x+5}{x^2-2x-3}\right)$

## Step-by-step Solution

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$-1$
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##  Step-by-step Solution 

Problem to solve:

$\lim_{x\to-1}\left(\frac{x^2+6x+5}{x^2-2x-3}\right)$

Specify the solving method

1

Plug in the value $-1$ into the limit

$\frac{{\left(-1\right)}^2+6\cdot -1+5}{{\left(-1\right)}^2-2\cdot -1-3}$

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

$\frac{{\left(-1\right)}^2+6\cdot -1+5}{{\left(-1\right)}^2-2\cdot -1-3}$

Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(-1)lim((x^2+6x+5)/(x^2-2x-3)). Plug in the value -1 into the limit. Multiply 6 times -1. Subtract the values 5 and -6. Calculate the power {\left(-1\right)}^2.

$-1$

##  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 L'Hôpital's ruleLimits by factoringLimits by rationalizing

SnapXam A2

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0
a
b
c
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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

~ 0.05 s

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