The value of `lim_(n->oo) [tan(pi/(2n)) tan((2pi)/(2n))........tan((npi)/(2n))]^(1/n)` is

lim_ (n rarr oo) (1) / (n) [tan ((pi) / (4n)) + tan ((2 pi) / (4n)) + ... tan ((n pi) / (4n) )]

lim_( n to oo) (sin ""(pi)/(2n) . sin ""(2pi)/(2n). sin ""(3pi)/(2n)......sin""((n -1) pi)/(2n))^(1//n) is equal to

lim_(n rarr oo)(pi n)^(2/n) =

The value of tan(n pi+(pi)/(3)),n in I is

lim_(n rarr oo)tan^-1n/n

Find the value of lim_(n to oo) (tan(sum_(r=1)^(n) tan^(-1)((4)/(4r^(2)+3)))) .

lim_(n rarr oo)n sin\ (2 pi)/(3n)*cos\ (2 pi)/(3n)