0.7777…=7/9
Use this fact to show that 0.077777...=7/90

Step-by-step explanation:

Here we have , 0.7777…=7/9 . And using this fact we need to find show that

0.077777...=7/90 . Let's show this:

In the equation , Let's evaluate RHS :

⇒

⇒

But According to question , 0.7777…=7/9  , So

⇒  

⇒  

⇒  

⇒  

Since , RHS=LHS . Therefore,   is proved using fact 0.7777…=7/9 .

{3 + i, 3 - i, 3, -1}

step-by-step explanation: