Finding the limit of $\lim_{x\to 1} (x^2-\sqrt x)/(1-\sqrt x)$ How do I evaluate
$$\lim_{x\to 1} \frac{(x^2-\sqrt x)}{(1-\sqrt x)}$$
Can someone explain the steps by steps solution to this problem?

Notice
$$ \frac{ x^2 - \sqrt{x}}{1 - \sqrt{x} } = \frac{ x^2 - \sqrt{x}}{1 - \sqrt{x} } \cdot \frac{1 + \sqrt{x}}{1+ \sqrt{x}} = \frac{x^2 + x^2 \sqrt{x} - \sqrt{x} - x}{1-x} = \frac{x(x-1) + \sqrt{x}((x-1)(x+1)}{-(x-1)}= \frac{x + \sqrt{x}(x+1)}{-1} \to_{x \to 1} -3$$
