# arrow_back Solve $\lim _{x \rightarrow 1} \frac{(2 x-3)(\sqrt{x}-1)}{2 x^{2}+x-3}$

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Solve $\lim _{x \rightarrow 1} \dfrac{(2 x-3)(\sqrt{x}-1)}{2 x^{2}+x-3}$

$\lim _{x \rightarrow 1} \dfrac{(2 x-3)(\sqrt{x}-1) \times(\sqrt{x}+1)}{(x-1)(2 x+3) \times(\sqrt{x}+1)}$

$=\dfrac{-1}{5.2}$

$=\dfrac{-1}{10}$
by Platinum
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