`lim_(n->oo)(1/(1. 3)+1/(3. 5)+................+1/((2n-1)(2n+1)))`

which of the following limits equal to (1)/(2):(A)lim_(n rarr oo)((1)/(1.3)+(1)/(3.5)+...+(1)/((2n-1)(2n+1)))

lim_(n->oo) {1/1.3+1/3.5+1/5.7+.....+1/((2n+1)(2n+3)) is equal to

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

underset(n to oo)lim {(1)/(1.3)+(1)/(3.5)+(1)/(5.7)+.....+(1)/((2n-1)(2n+1))}=

The value of lim_(n rarr oo){1/1.3+1/3.5+1/5.7+...+1/((2n+1)(2n+3))} is

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) / (n ^ (3)) {1 + 3 + 6 + ...... + (n (n + 1)) / (2)}

Value of lim_(a to oo) (e.a^(2).e^(3).a^(4). ..........e^(n-1)a^(n))^((1)/(n^(2)+1)) is

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

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