If −5≤a≤−1and −5≤a≤−1, what is the least possible value of (1a+1b)(1b−1a)? Express your answer as a common fraction.
The minimum happens when b = 3 and a = -5: (1/(-5) + 1/3)*(1/3 - (-1/5)) = 16/225.
hm..... not sure why but i think it is wrong....
i think there is something smaller..... maybe i am wrong?