Let ,x = 0.6666…

⇒ x = 0.6 + 0.06 + 0.006 + …

⇒ x = 6(0.1 + 0.01 + 0.001 + 0.0001 + …∞)

⇒ x = 6()

This is an infinite geometric series.

Here,a = 1/10 and r = 1/10

∴ x

Ans: ₌