Given that R is between 0 and 1, which of the following expressions has the greatest possible value? Choose the correct choice from the following answers.
A) (R-2)^4  B) (R+14)  C) (R+99)^(1/2)  D) (R+1)/(R-1)  E) (R-2)/(R-1)
Two of these expressions include division by a term that includes R. In both cases, the value of the denominator can be made arbitrarily close to zero, making the magnitude of the expression increase without bound. However, (R+1)/(R-1) will always have a positive numerator and negative denominator, so the expression will always be negative. (R+1)/(R-1) will always have a negative numerator and negative denominator, so the value will be positive. Therefore the answer is (R-2)/(R-1).
<result>E</result>
Given that R is between 0 and 1, which of the following expressions has the greatest possible value?