An Infinite Network. As shown in Fig. P26.83, a network of resistors of resistances...

An Infinite Network. As shown in Fig. P26.83, a network of resistors of resistances R1 and R2 extends to infinity toward the right. Prove that the total resistance R_T of the infinite network is equal to

(Hint: Since the network is infinite, the resistance of the network to the right of points c and d is also equal to R_T.)