If \(-5\leq a \leq -1\) and \(1 \leq b \leq 3\), what is the least possible value of \(\displaystyle\left(\frac{1}{a}+\frac{1}{b}\right)\left(\frac{1}{b}-\frac{1}{a}\right) \)? Express your answer as a common fraction.
According to this, your answer would be a,b = -1,3
ay = [-5,-4,-3,-2,-1] be = [1,2,3] lo = float('inf') answr = 0 for a in ay: for b in be: if (1/a+1/b)*(1/b-1/a) < lo: lo = (1/a+1/b)*(1/b-1/a) answr = [a,b] print (lo) print (answr)
According to this, your answer would be a,b = -1,3
ay = [-5,-4,-3,-2,-1] be = [1,2,3] lo = float('inf') answr = 0 for a in ay: for b in be: if (1/a+1/b)*(1/b-1/a) < lo: lo = (1/a+1/b)*(1/b-1/a) answr = [a,b] print (lo) print (answr)
