`lim_(n->oo) (3^n -2^n)/ (3^n+2^n)`

lim_(n->oo)sin(x/2^n)/(x/2^n)

lim_(n->oo)(-3n+(-1)^n)/(4n-(-1)^n) is equal to a. -3/4 b. 0 if n is even c. -3/4 if n is odd d. none of these

lim_(n->oo)2^(n-1)sin(a/2^n)

lim_(n->oo)((n^2-n+1)/(n^2-n-1))^(n(n-1)) is

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) .

Evaluate : lim_(n-> oo) (1^4+2^4+3^4+...+n^4)/n^5 - lim_(n->oo) (1^3+2^3+...+n^3)/n^5

lim_(n->oo)(n(2n+1)^2)/((n+2)(n^2+3n-1)) is equal to (a)0 (b) 2 (c) 4 (d) oo

Evaluate: lim_(n->oo)sin^n((2pin)/(3n+1)),n in Ndot

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

If lim(n->oo)(n*3^n)/(n(x-2)^n +n*3^(n+1)-3^n) = 1/3 then the range of x is (where n epsilon N )