Question

since 0.999 goes on forever, so there no gap between 1 and 0.999 and hence they are equal ​

Answer 1

Answer:

x= 0.9999..... = 1

Explanation:

Let x = 0.9999....-----(1)

Multiply equation (1) by 10,

we get

=> 10x = 9.9999.....----(2)

Subtract (1) from (2), we get

9x = 9

=> x = 9/9

=> x = 1

Therefore,

x= 0.9999..... = 1

•••••