Question Number 7667 by upendrakishor99@gmail.com last updated on 08/Sep/16
![lim_(x→α) [x−x^2 log (1+(1/x))]](Q7667.png)
$$\underset{{x}\rightarrow\alpha} {\mathrm{lim}}\left[{x}−{x}^{\mathrm{2}} \mathrm{log}\:\left(\mathrm{1}+\frac{\mathrm{1}}{{x}}\right)\right] \\ $$
Answered by FilupSmith last updated on 08/Sep/16
$$=\alpha−\alpha^{\mathrm{2}} \mathrm{log}\left(\mathrm{1}+\frac{\mathrm{1}}{\alpha}\right) \\ $$