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# Find the limit $\lim_{x\to1}\left(\frac{\left(\sqrt{x}\right)^2}{\left(x-1\right)\left(x+1\right)\sqrt{x}+1}\right)$

## Step-by-step Solution

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asinh
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###  Solution

$1$
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##  Step-by-step Solution 

Problem to solve:

$\lim_{x\to1}\left(\frac{\left(\sqrt{x}\right)^2}{\left(x-1\right)\left(x+1\right)\sqrt{x}+1}\right)$

Specify the solving method

1

Cancel exponents $\frac{1}{2}$ and $2$

$\lim_{x\to1}\left(\frac{x}{\left(x-1\right)\left(x+1\right)\sqrt{x}+1}\right)$

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$\lim_{x\to1}\left(\frac{x}{\left(x-1\right)\left(x+1\right)\sqrt{x}+1}\right)$

Learn how to solve problems step by step online. Find the limit (x)->(1)lim((x^1/2^2)/((x-1)(x+1)x^1/2+1)). Cancel exponents \frac{1}{2} and 2. Evaluate the limit \lim_{x\to1}\left(\frac{x}{\left(x-1\right)\left(x+1\right)\sqrt{x}+1}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. Add the values 1 and 1.

$1$

$1$

##  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

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SnapXam A2

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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
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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