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

Evaluate: lim_(n rarr oo)(i^3/(i^4+n^4))

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))

Evaluate, lim_ (n rarr oo) ((1 + 4 ^ ((1) / (n))) / (2)) ^ (n)

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

lim_ (n rarr oo) (1 + 2 + 3 * -n) / (n ^ (2))

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

Find lim_ (n rarr oo) (4n ^ (2) + 6n + 2) / (4) n ^ (2)

Fill in the blanks: lim_(n rarroo)( 4^n+3^n)/(4^n-3^n)=______