Final Answer
$1$
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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 $2$
$\lim_{x\to1}\left(\frac{x}{\left(x-1\right)\left(x+1\right)\sqrt{x}+1}\right)$
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to1}\left(\frac{x}{\left(x-1\right)\left(x+1\right)\sqrt{x}+1}\right)$
Learn how to solve limits by direct substitution 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. Simplifying, we get.
Final Answer
$1$