Find `lim_(n->oo) (4^n+3^n)/(4^n-3^n)`

lim_(n->oo) nsin(1/n)

If A=[{:(,1,a),(,0,1):}] then find lim_(n-oo) (1)/(n)A^(n)

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

Evaluate: ("lim")_(n->oo)(4^n+5^n)^(1/n)

Evaluate the following limit: (lim)_(n->oo)(1^3+2^3+ n^3)/((n-1)^4)

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

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 )

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^2-n+1)/(n^2-n-1))^(n(n-1)) is