\lim_{{x \to 0}}\frac{\sqrt{1+2x}.\sqrt[3]{1+3x}-\sqrt{1+4x}}{1+x-\sqrt{1+2x}}
\lim_{x \to 0}\frac{\sqrt{1.2x+1}.\sqrt[3]{2.3x+1}.\sqrt[4]{3.4x+1}....\sqrt[2017]{2016.2017x+1}-1}{x}
\lim_{x\to-1}\frac{\sqrt{2x+3}-\sqrt[3]{3x+4}}{(x+1)^{2}}
\lim_{x\to1}\frac{\sqrt{1+3x}.\sqrt[3]{5+3x}-4}{x-1}