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Find the limit of $x-5$ as $x$ approaches $3$

Step-by-step Solution

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Solution

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Final answer to the problem

$-2$
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Step-by-step Solution

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  • Solve using L'Hôpital's rule
  • Solve without using l'Hôpital
  • Solve using limit properties
  • Solve using direct substitution
  • Solve the limit using factorization
  • Solve the limit using rationalization
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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1

Evaluate the limit $\lim_{x\to3}\left(x-5\right)$ by replacing all occurrences of $x$ by $3$

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

$3-5$

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Learn how to solve limits by direct substitution problems step by step online. Find the limit of x-5 as x approaches 3. Evaluate the limit \lim_{x\to3}\left(x-5\right) by replacing all occurrences of x by 3. Subtract the values 3 and -5.

Final answer to the problem

$-2$

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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

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Function Plot

Plotting: $x-5$

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Answer Assistant

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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
D□x
∫
∫◻
|◻|
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:

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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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