The sum of infinite series `1/(10) +2/(10^2)+ 3/(10^3)+...+n/(10)^n` is

Find the sum of the infinite series (7)/(5)(1+(1)/(10^(2))+(1.3)/(1.2).(1)/(10^(4))+(1.3.5)/(1.2.3).(1)/(10^(6))+....)

Find the sum of the infinite series (7)/(5)(1+(1)/(10^(2))+(1.3)/(1.2).(1)/(10^(4))+(1.3.5)/(1.2.3).(1)/(10^(6))+....)

Let t_(n) denote the nth term of the infinite series (1)/(1!) +(10)/(2!) +(21)/(3!) +(34)/(4!) +(49)/(5!) +… . Then lim_( n to oo) t_(n) is

Find sum to infinite terms of the series 1 + 2 ((11)/(10)) + 3 ((11)/(10)) ^(2) + 4 ((11)/(10)) ^(3) +………

The sum of the series 1+(3)/(4)+(6)/(4^(2))+(10)/(4^(3))+... upto infinite terms is

The sum to the infinite series,1+2(1-(1)/(n))+3(1-(1)/(n))^(2)+...... is

The sum to n terms of the series 4/3 + 10/9 + 28/27 + ……. is