" 19."lim_(n rarr oo)((1)/(3)+(1)/(3^(2))+(1)/(3^(3))+...+(1)/(3^(n)))

lim_(n rarr oo) ((1)/(1.2) + (1)/(2.3) + (1)/(3.4) +…..+ (1)/(n(n+1))) is :

lim_(n rarr oo)(2^(n)+3^(n))^(1/n)

lim_ (n rarr oo) ((n-1) (n-2) (n-3)) / (n ^ (3))

evaluate lim_ (n rarr oo) [(1) / (3) + (1) / (3 ^ (2)) + (1) / (3 ^ (2)) + ......... + (1) / (3 ^ (n))]

lim_ (x rarr oo) {(1) / (3) + (1) / (3 ^ (2)) + (1) / (3 ^ (3)) + ...... (. 1) / (3 ^ (n))} =

lim_ (n rarr oo) (1+ (1) / (2) + (1) / (2 ^ (2)) + (1) / (2 ^ (3)) + ...... (1) / (2 ^ (n))) / (1+ (1) / (3) + (1) / (3 ^ (2)) + (1) / (3 ^ (3)) ...... (1) / (3 ^ (n)))

lim_(n rarr oo)(1+(1)/(3)+(1)/(3^(2))+.......+(1)/(3^(n-1)))/(1+(1)/(2)+(1)/(2^(2))+.....+(1)/(2^(n-1)))

lim_(n rarr oo){(1)/(1.3)+(1)/(3.5)+(1)/(5.7)+....+(1)/((2n+1)(2n+3 ))