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[" 34."lim(n rarr oo)(pi)/(6n)[sec^(2)((...

[" 34."lim_(n rarr oo)(pi)/(6n)[sec^(2)((pi)/(6n))+sec^(2)(2*(pi)/(6n))+...+sec^(2)((n-1)*(pi)/(6n))+(4)/(3)]" has the value "],[[" (a) "(sqrt(3))/(3)," (b) "sqrt(3)," (c) "2," (d) "]]

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

Lt_(ntooo)(1)/(n)[sec^(2)""(pi)/(4n)+sec^(2)""(2pi)/(4n)+......+sec^(2)""(npi)/(4n)]=

The value of lim_(nrarroo)(1)/(n)[sec^(2)""(pi)/(4n)+sec^(2)""(2pi)/(4n)+….+sec^(2)""(npi)/(4n)] is

lim_(n rarr oo) sum_(r=1)^(n) 1/n sec^(2) ((rpi)/(4n)) =

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

The value of lim_(ntooo)(1)/(n)[sec^2""(pi)/(4n)+sec^2""(2pi)/(4n)+....+sec^2""(npi)/(4n)] is

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

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