lim[2^(n+1)sin(π/3^(n+1))]/[2^(n)sin(π/3^(n)]
=2limsin(π/3^(n+1))]/[sin(π/3^(n)]
=2limsin(π/3^(n+1))]/[sin(π/3^(n)]
=2limπ/3^(n+1)/[(π/3^(n)]
=2/3
lim[2^(n+1)sin(π/3^(n+1))]/[2^(n)sin(π/3^(n)]
=2limsin(π/3^(n+1))]/[sin(π/3^(n)]
=2limsin(π/3^(n+1))]/[sin(π/3^(n)]
=2limπ/3^(n+1)/[(π/3^(n)]
=2/3