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# Find the limit $\lim_{x\to5}\left(\frac{x^2-x}{x}\right)$

## Step-by-step Solution

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$4$
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##  Step-by-step Solution 

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Evaluate the limit $\lim_{x\to5}\left(\frac{x^2-x}{x}\right)$ by replacing all occurrences of $x$ by $5$

$\frac{5^2-5}{5}$

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

$\frac{5^2-5}{5}$

Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(5)lim((x^2-x)/x). Evaluate the limit \lim_{x\to5}\left(\frac{x^2-x}{x}\right) by replacing all occurrences of x by 5. Calculate the power 5^2. Subtract the values 25 and -5. Divide 20 by 5.

$4$

$4$

##  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

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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

Find limits of functions at a specific point by directly plugging the value into the function.

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