=

A. -1

B. 0

C. 1

D. 2

E. ¥

 

 

Solution: The answer is A

 

Since x + ln(1 - x) ® 0 and x – ln(1 + x) ® 0 as x ® 0, then

which is an indeterminate form, that is, the limit may or may not exist. Thus, using l’Hospital’s Rule twice yields,