lim_(n rarr alpha)(2^(n+1)+3^(x+1))/(2^(n)+3^(n))

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

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

lim_(n rarr oo)(5^(n+1)+3^(n)-2^(2n))/(5^(n)+2^(n)+3^(2n+3))

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

lim_(lim(n rarr oo))(n*3^(n))/(n(x-2)^(n)+n*3^(n+1)-3^(n))=(1)/(3)

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

lim_(n rarr oo)(((n+1)^(1/3))/(n^(4/3))+((n+2)^(1/3))/(n^(4/3))+.....+((2n)^(1/3))/(n^(4/3))) is equal to

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