SOLUTION: Kindly help me solving it I tried my best but I couldn't lim (1/x)log(1-x/2) is equal to x-->0 A)-1/2 B)1/2 C)2 D)none of these

Question 1044677: Kindly help me solving it I tried my best but I couldn't
lim (1/x)log(1-x/2) is equal to
x-->0
A)-1/2
B)1/2
C)2
D)none of these
Answer by MaxWong(38) (Show Source): You can put this solution on YOUR website!
lim (1/x)log(1-x/2)
x->0
= lim((log(1-x/2))/x)
x->0
Then we can use L'Hopital's Rule!!
= lim(d/dx log(1-x/2)) <-- because d/dx x = 1
x->0
= lim(1/((2-x)(ln 10)))
x->0
= 1/(2 ln 10)
Therefore, none of them is the answer.
:D ~Max who love Maths.
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