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Find the limit of $\left(2x-e\right)\ln\left(x\right)$ as $x$ approaches $e$

Step-by-step Solution

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Final Answer

$e$
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Step-by-step Solution

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Evaluate the limit $\lim_{x\to e}\left(\left(2x-e\right)\ln\left(x\right)\right)$ by replacing all occurrences of $x$ by $e$

$\left(2\cdot e-e\right)\ln\left(e\right)$

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

$\left(2\cdot e-e\right)\ln\left(e\right)$

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Learn how to solve limits by direct substitution problems step by step online. Find the limit of (2x-e)ln(x) as x approaches e. Evaluate the limit \lim_{x\to e}\left(\left(2x-e\right)\ln\left(x\right)\right) by replacing all occurrences of x by e. Multiply 2 times e. Subtract the values 2e and -e. Calculating the natural logarithm of e.

Final Answer

$e$

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Limits by Direct SubstitutionLimits by L'Hôpital's ruleLimits by FactoringLimits by Rationalizing

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Function Plot

Plotting: $e$

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Answer Assistant

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1
2
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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

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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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