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

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 rarr oo)(a^(n)+b^(n))/(a^(n)-b^(n)), where a

If , ^nC_1,^nC_2 and ^nC_3 are in AP. Find the value of n.

Find the value of n if ""^nC_(n-1)=5 .

lim_(nrarr oo) (a^n_b^n)/(a^n+b^n) , where 1lt b lt a , is equal to

If (1+x)^(n)=nC_(0)+nC_(1)x+....+nC_(n)x^(n) where n is a positive integer,then find the value of nC_(0)+nC_(4)+nC_(8)+....

lim_(xrarr oo) (a^n_b^n)/(a^n-b^n) , where 1lt b lt a , is equal to

The value of lim_(nto oo)(a^(n)+b^(n))/(a^(n)-b^(n)), (where agtb) is