Evaluate the limit . underset(n to 00)...

Evaluate the limit .
`underset(n to 00)("lim") (1)/(n) [tan (pi)/(4n) + tan (2pi)/(4n) +………..tan (npi)/(4n)]`

Verified by Experts

The correct Answer is:

`(2)/(pi) log 2`

Similar Questions

Explore conceptually related problems

Evaluate the limit . lim_(n to oo) (1)/(n) [tan (pi)/(4n) + tan (2pi)/(4n) +………..tan (npi)/(4n)]

Evaluate the limit . lim_(n to 00) ((n!)^(1/n))/(n)

Evaluate the following define integrals as limit of sums : lim_(n rarroo) 1/n [tan. (pi)/(4n) + tan. (2pi)/(4n)+....+tan. (n pi)/(4n)]

Evaluate the limit . lim_(n to 00) sum_(i=1)^(n) (i^(3))/(i^(4)+n^(4))

Evaluate the limit . lim_(n to 00) [(1)/(n+1)+(1)/(n+2)+…………… +(1)/(6n)]

Simplify tan ((pi)/(4) +A) tan ((pi)/(4)-A)

tan(pi/4+A)-tan(pi/4-A)=

Evaluate the limit . Lt_( n to oo) (1+2^(4)+3^(4)+…….+n^(4))/(n^(5))