Show complete proof/solution. 0) such that B,(x) C E} Show using the definition of topology that T is a topology on R". "/> Exercise 6| Show complete proof and solution. In R" wheren E N, let B,(x) =...

Show complete proof/solution.
0) such that B,(x) C E} Show using the definition of topology that T is a topology on R". "/>
Extracted text: Exercise 6| Show complete proof and solution. In R" wheren E N, let B,(x) = {y : ||x – y|| < r}="" and="" t="{E" c="" r"="" :="" (vx="" e="" e),="" (3r=""> 0) such that B,(x) C E} Show using the definition of topology that T is a topology on R".