Question Number 175434 by thean last updated on 30/Aug/22
Answered by Mathspace last updated on 30/Aug/22
$$={lim}_{{x}\rightarrow\mathrm{0}^{+} } \left(\frac{{x}^{\mathrm{2}} −\mathrm{2}−\mathrm{2}{xlnx}+\mathrm{3}{x}}{{x}}\right) \\ $$$$={lim}_{{x}\rightarrow\mathrm{0}^{+} } \:\:\:\frac{{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{2}}{{x}} \\ $$$$={lim}_{{x}\rightarrow\mathrm{0}+} \:\:\:\frac{−\mathrm{2}}{{x}}=−\infty \\ $$