`lim_(n->oo) ((C(n,0)+C(n,1)+....C(n,n))-5^n)/5^n=`

Given lim_(n->oo)((.^(3n)C_n)/(.^(2n)C_n))^(1/n) =a/b where a and b are relatively prime, find the value of (a + b) .

lim_(n to oo)(n!)/((n+1)!-n!)

lim_(n rarr oo) (4^(n)+5^(n))^(1/n) =

lim_(n rarr oo) (4^(n)+5^(n))^(1/n) =

lim_(n rarr oo) (4^(n)+5^(n))^(1/n) =

lim_(n->oo) (1)/(n^(6)){(n+1)^(5)+(n+2)^(5)+...+(2n)^(5)}

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

lim_(n to oo)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

lim_ (n rarr oo) [(n!) / (n ^ (n))] ^ ((1) / (n))

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