Question

Answer 1

\(B=\lim\limits_{x\rightarrow1}\dfrac{\left(4x+5-9\right)\left(\sqrt[3]{\left(5x+3\right)^2}+2\sqrt[3]{5x+3}+2^2\right)}{\left(5x+3-8\right)\left(\sqrt{4x+5}+3\right)}\)

\(=\lim\limits_{x\rightarrow1}\dfrac{4\cdot\left(\sqrt[3]{\left(5x+3\right)^2}+2\sqrt[3]{5x+3}+2^2\right)}{5\cdot\left(\sqrt{4x+5}+3\right)}=\dfrac{8}{5}\)