`Lt_(n->oo)(1. 3 .5 ....(2n-1))/(2. 4 .6.... (2n))=`

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underset(n to oo)lim (1+3+5+....+(2n-1))/(2+4+6+..2n)

Find lim_(n rarr oo)((1.3.5...(2n-1)}(n+1)^(4)]+[n^(4)(1.3.5...(2n-1)) (2n+1)]

Lt_(n to oo)(1 + 2/n)^(2n) =

Lt_(x to oo)((1)/(3.5)+(1)/(5.7)+.....+(1)/((2n+1)(2n+3)))=

Lt_(n rarr oo)[(1)/(n+1) + (1)/(n+2)+..(1)/(2n)]

Lt_(n-oo)[(1)/(n^(3))+(2^(2))/(n^(3))+.........+(n^(2))/(n^(3))]=

{:(" "Lt),(n rarr oo):}{ (1)/(2n+1)+(1)/(2n+2)+......+(1)/(3n)}=

Show that Lt_(ntooo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=-20/7

Evaluate Lt_(n rarr oo) ((1)/(n+1) + (1)/(n+2) +..+(1)/(3n))