Evaluate:
`lim_(xrarr1) ((2x-3)(sqrt(x)-1))/(2x^(2)+x-3)`

Explanation

To evaluate the limit \( \lim_{x \to 1} \frac{(2x-3)(\sqrt{x}-1)}{2x^2+x-3} \), we can follow these steps:

### Step 1: Substitute \( x = 1 \)
First, let's substitute \( x = 1 \) into the expression to check if it results in an indeterminate form.

\[ \text{Numerator: } (2(1) - 3)(\sqrt{1} - 1) = (2 - 3)(1 - 1) = (-1)(0) = 0 \]
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