Evaluate: `(lim_(n->oo)ncos(pi/(4n))sin(pi/(4n))`

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

Evaluate lim_(nrarroo)(2)/(n)(sin.(pi)/(2n)+sin.(2pi)/(2n)+sin.(3pi)/(2n)+....+sin.(npi)/(2n))

Evaluate sin((pi)/(n))+sin((3 pi)/(n))+sin((5 pi)/(n))+ to n terms.

Evaluate: lim_(n rarr oo)(n^(p)sin^(2)(n!))/(n+1)

Evaluate lim_(ntooo)(1)/(n)[sin^(2k).(pi)/(2n)+sin^(2k).(2pi)/(2n)+....+sin^(2k).(pi)/(2)]

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

The value of lim_(n rarr oo)[tan((pi)/(2n))tan((2 pi)/(2n))......tan((n pi)/(2n))]^((1)/(n))

Evaluate: lim_(x rarr oo)sin^(n)((2 pi n)/(3n+1)),n in N

lim_(n rarr oo)2^(n)sin(a)/(2^(n))