The value of `(2^(n+4)-2*2^(n))/(2.2^(n+3))+2^(-3)`

Find the value of ( 2^(n+4) - 2 ( 2^n )) / ( 2(2^(n+3) )

The value of (6^(n) xx 2^(2n) xx 3^(3n))/(30^(n) xx 3^(2n) xx 2^(3n)) is equal to

The value of sum_(n=1)^(oo)(4n-2)/(3^(n))

The value of lim_(n to oo)((1)/(1^(3)+n^(3))+(2^(2))/(2^(3)+n^(3))+..........+(n^(2))/(n^(3)+n^(3))) is :

The value of sum (""^(n) C_(1) )^(2)+ (""^(n) C_(2) )^(2) + (""^(n) C_(3))^(2) + …+ (""^(n) C_(n) )^(2) is

(i) If (n!)/(2.(n-2)!): (n!)/(4!.(n-4)!) = 2:1 , find the valye of n. (ii) If ((2n)!)/(3!(2n-3)!): (n!)/(2!(n-2)!) = 44:3 , then find the value of n.

The value of lim_(n rarr oo)(1)/(n^(2)){(sin^(3)pi)/(4n)+2(sin^(3)(2 pi))/(4n)+...+n(sin^(3)(n pi))/(4n)} is equal to

Let 'sigma' denotes the sum of the infinite series sum_(n=1)^(n)((n^(2)+2n+3)/(2^(n))). Compute the value of (1^(3)+2^(3)+3^(3)+......+sigma^(3))

The value of lim_(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals