Question

$\displaystyle \lim_{x \to 1}$ \left\\{log_{e}\left(e^{x\left(x-1\right)}-e^{x\left(1-x\right)}\right)-log_{e}\left(4x\left(x-1\right)\right)\right\\} is equal to :

• A. $-2\,log_e\,2$
• B. $1$
• C. $1-\,log_e\,2$
• D. $-\,log_e\,2$

Answer 1

Answer: (D)

$-\,log_e\,2$

Answer 2

The correct option is (D): $-\,log_e\,2$