\(=\lim\limits_{x->1}\dfrac{\left(x-1\right)\left(x-2\right)}{\sqrt{3x+1}-2-2\left(\sqrt[3]{2x-1}-1\right)}\)
\(=\lim\limits_{x\rightarrow1}\dfrac{\left(x-1\right)\left(x-2\right)}{\dfrac{3x+1-4}{\sqrt{3x+1}+2}-2\cdot\dfrac{2x-1-1}{\sqrt[3]{\left(2x-1\right)^2}+\sqrt[3]{2x-1}+1}}\)
\(=\lim\limits_{x\rightarrow1}\dfrac{\left(x-2\right)}{\dfrac{3}{\sqrt{3x+1}+2}-\dfrac{4}{\sqrt[3]{\left(2x-1\right)^2}+\sqrt[3]{2x-1}+1}}\)
\(=\dfrac{1-2}{\dfrac{3}{\sqrt{3+1}+2}-\dfrac{4}{\sqrt[3]{\left(2\cdot1-1\right)^2}+\sqrt[3]{2\cdot1-1}+1}}\)
\(=-1:\dfrac{-7}{12}=\dfrac{12}{7}\)
Đúng 1
Bình luận (0)
