यह देखते हुए कि lim_(n to oo)sum_(r=1)^(n)(log(n^(2)+r^(2))-2logn)/(n)=log2+(pi)/(2)- 2, फिर lim_(n t...

lim_(n to oo)sum_(r=1)^(n)cot^(-1)(r^(2)+3//4) is

lim_(n to oo) sum_(r=1)^(n) (1)/(n)e^(r//n) is

lim_(nto oo)sum_(r=1)^(n)r/(n^(2)+n+4) equals

lim_(nrarroo) sum_(r=0)^(n-1) (1)/(sqrt(n^(2)-r^(2)))

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

Given that lim_(nto oo) sum_(r=1)^(n) (log (r+n)-log n)/(n)=2(log 2-(1)/(2)) , lim_(n to oo) (1)/(n^k)[(n+1)^k(n+2)^k.....(n+n)^k]^(1//n) , is

lim_(n to oo) " " sum_(r=2n+1)^(3n) (n)/(r^(2)-n^(2)) is equal to

lim_(n rarr oo)sum_(r=2n+1)^(3n)(n)/(r^(2)-n^(2)) is equal to