`lim_(n rarr oo)sum_(k=1)^(n)(3+(k)/(n))^(4)*(1)/(n)`

The value of lim_(n rarr oo)sum_(k=1)^(n)log(1+(k)/(n))^((1)/(n)) ,is

Find the value of lim_(n rarr oo)sum_(k=1)^(n)((k)/(n^(2)+k))

Evaluate lim_(n rarr oo)sum_(k=1)^(n)quad (k)/(n^(2)+k^(2))

The value of Lim_(n rarr oo)sum_(k=1)^(n)(n-k)/(n^(2))cos((4k)/n) equals

Which of the following is the value of lim_(n rarr oo)sum_(r=1)^(n)(r^(3))/(r^(4)+n^(4))?

The value of lim_(n rarr oo)sum_(k=1)^(n)(6^(k))/((3^(k)-2^(k))(3^(k+1)-2^(k+1))) is equal to

If lim_(n rarr oo)sum_(k=1)^(n)(k^(2)+k)/(n^(3)+k) can be expressed as rational (p)/(q) in the lowest form then the value of (p+q), is

lim_(n rarr oo)sum_(i=1)^(n)(5)/(n^(3))(i-1)^(2) equals

Evaluate :lim_(n rarr oo)sum_(r=1)^(n)(1)/((n^(2)+r^(2))^(1/2))

For a natural number n,let a_(n)=int_(0)^((pi)/(4))(tan x)^(2n)dx. Now answer the following questions.Express (1)a_(n+1) in terms of a_(n)(2) Find lim_(n rarr oo)a_(n)(3) Find lim_(n rarr oo)sum_(k=1)^(n)(-1)^(k-1)(a_(k)+a_(k-1))