Find the sum of the following series: `(sqrt(2)+1)+1(sqrt(2)-1)+.......+oo`

Find the sum of the following geometric series: \ sqrt(2)+1/(sqrt(2))+1/(2sqrt(2))+ to\ 8\ t e r m s ;

Evaluate the following: \ (sqrt(2)+1)^6+(sqrt(2)-1)^6

If sqrt(2)=1.414,sqrt(3)=1.732 , find the value of the following : (i)(sqrt(2)+1)/(sqrt(2)-1)" "(ii)(sqrt(3)-1)/(sqrt(3)+1)" "(iii)(2+sqrt(6))/(sqrt(2))

Find the sum of the following series: 1/2+1/(3^2)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^6)+...+oo

Sum the following geometric series to infinity: (sqrt(2)+1)+1+(sqrt(2)-1)+oo 1/2+1/(3^3)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^6)+oo

Find the sum of 10 terms of the series 1+sqrt(3)+3+….

Find the sum of the following series to infinity: 1-1/3+1/(3^2)-1/(3^3)+1/(3^4)+oo

The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)/(sqrt(6)))+....sin^(-1)((sqrt(n)-sqrt(n-1))/(sqrt(n(n+1))))

The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)/(sqrt(6)))+....sin^(-1)((sqrt(n)-sqrt(n-1))/(sqrt(n(n+1))))

Find the 19^(th) term of the series : sqrt(3)+(1)/(sqrt(3))+(1)/(3sqrt(3))+ . . . . . . . . . . . .