Which value of x satisfies the equation

9

Step-by-step explanation:

5/3 (x + 1/2) = 95/6

5/3 × 1/2 = 5/6

5/3x + 5/6 = 96/6

         -5/6     -5/6

5/3x = 90/6

5/3x = 15

   

5/3      5/3

x  = 9

Ratio testwe can show it converges absolutely lim          |d{n+1}/10^(n+1)|/|d{n}/10^n|n->inf=  "          |d{n+1}/10^n*10|*|10^n/d{n}|=  "          1/10*|d{n+1}/d{n}|the digits can range form 0 to 9the biggest number that can be in that absolute value thing is 9/1so1/10*9=9/10<1so it converges absolutely