0

Pershendetje Genta

\lim_{x\rightarrow 0}\frac{\sqrt{2x+2}-\sqrt{4x+1}}{\sqrt[3]{x}} =\lim_{x\rightarrow 0}\frac{(\sqrt{2x+1}-\sqrt{4x+1})(\sqrt{2x+1}+\sqrt{4x+1})}{\sqrt[3]{x}(\sqrt{2x+1}+\sqrt{4x+1})} =\lim_{x\rightarrow 0}\frac{2x+1-4x-1}{\sqrt[3]{x}(\sqrt{2x+1}+\sqrt{4x+1})} =\lim_{x\rightarrow 0}\frac{-2x\cdot x^{-\frac{1}{3}}}{(\sqrt{2x+1}+\sqrt{4x+1})} =\lim_{x\rightarrow 0}\frac{-2\sqrt[3]{x^{2}}}{(\sqrt{2x+1}+\sqrt{4x+1})}=0

Limiti  eshte 0. Forma \frac{0}{l}.