Step-by-step explanation
Problem to solve:
$\lim_{x\to1}\left(\frac{\left(\sqrt{x}\right)^2}{\left(x-1\right)\left(x+1\right)\sqrt{x}+1}\right)$
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. Evaluate the limit of x^0.5^2 as x approaches 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
$1$