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# Find the limit of $\sqrt{x+6}+x$ as $x$ approaches $-6$

## Step-by-step Solution

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###  Videos

$-6$
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##  Step-by-step Solution 

Problem to solve:

$\lim_{x\to-6}\left(\sqrt{x+6}+x\right)$

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1

Evaluate the limit $\lim_{x\to-6}\left(\sqrt{x+6}+x\right)$ by replacing all occurrences of $x$ by $-6$

$\sqrt{-6+6}-6$

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

$\sqrt{-6+6}-6$

Learn how to solve limits by direct substitution problems step by step online. Find the limit of (x+6)^1/2+x as x approaches -6. Evaluate the limit \lim_{x\to-6}\left(\sqrt{x+6}+x\right) by replacing all occurrences of x by -6. Subtract the values 6 and -6. Calculate the power \sqrt{0}.

$-6$

##  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
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

### Main topic:

Limits by direct substitution

~ 0.02 s

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