Determine the values of aaa and bbb such that the limit limx→01+ax−1+bxx=2\lim_{x \to 0} \frac{\sqrt{1+ax} - \sqrt{1+bx}}{x} = 2limx→0x1+ax−1+bx=2.
a−b=4a-b=4a−b=4
a−b=2a-b=2a−b=2
a+b=4a+b=4a+b=4
a+b=2a+b=2a+b=2