Let `S=sum_(r=1)^(117)(1)/(2[sqrtr]+1)`, when `[*]` denites the greatest integer function and if `S=(p)/(q)`, when p and q are co-primes, the value of `p+q` is

Let S=sum_(r=1)^(117)(1)/(2[sqrt(r)]+1) where [.) denotes the greatest integer function.The value of S is

lim _(xtooo)3/x [(x)/(4)]=p/q where [.] denotes greatest integer function), then p+q (where p,q are relative prime) is:

lim _(xtooo)3/x [(x)/(4)]=p/q where [.] denotes greatest integer function), then p+q (where p,q are relative prime) is:

Let the sum sum_(n=1)^(9)1/(n(n+1)(n+2)) written in the rational form be p/q (where p and q are co-prime), then the value of [(q-p)/10] is (where [.] is the greatest integer function)

Let the sum sum_(n=1)^(9)1/(n(n+1)(n+2)) written in the rational form be p/q (where p and q are co-prime), then the value of [(q-p)/10] is (where [.] is the greatest integer function)

The expression log_2 5-sum_(k=1)^4 log_2(sin((kpi)/5)) reduces to p/q, where p and q are co-prime, the value of p^2+q^2 is

The expression log_2 5-sum_(k=1)^4 log_2(sin((kpi)/5)) reduces to p/q, where p and q are co-prime, the value of p^2+q^2 is

The expression log_2 5-sum_(k=1)^4 log_2(sin((kpi)/5)) reduces to p/q, where p and q are co-prime, the value of p^2+q^2 is