Evaluate: `("lim")_(nvecoo)(4^n+5^n)^(1/n)`

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

Evaluate: (lim)_(n rarr oo)[(n!)/(n^(n))]^(1/n)

lim_(nto oo) (2^n+5^n)^(1//n) is equal to

If I_n=int_0^(sqrt(3))(dx)/(1+x^n),(n=1,2,3. .), then find the value of ("lim")_(nvecoo)I_ndot (a)0 (b) 1 (c) 2 (d) 1/2

Evaluate: lim_(n rarr oo)[(1+1/n)(1+2/n)(1+3/n).......(1+n/n)]^(1/n)

The value of (lim)_(nvecoo)((a+1+b n)/a)^n ; a ,b >0,a n dn in N is equal to:

Evaluate: (lim_(n rarr oo)n cos((pi)/(4n))sin((pi)/(4n))

Evaluate lim_(nto oo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!)

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

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