If `S_(r) = sqrt(r+ sqrt(r+sqrt(r+sqrt(......oo)))) , r gt 0` then which the following is\are correct.

If p + sqrt q = r + sqrts , then

Differentiate w.r.t.x:y=sqrt(x+sqrt(x+sqrt(x+sqrt(x+.........oo))))

sqrt((9^((r + (I)/4)) sqrt(3.3^(-r)))/(3.sqrt(3^(-r)))) = k , then the value of k is

cot(7((1)/(2))^(@)=sqrt(p)+sqrt(q)+sqrt(r)+sqrt(s)

lim_(n->oo)sum_(r=1)^n(sqrt(n))/(sqrt(r)(3sqrt(r)+4sqrt(n))^2)

sqrt(x^(p-q))sqrt(x^(q-r))sqrt(x^(r-p))=1

sum_(r=1)^(n)sin^(-1)((sqrt(r)-sqrt(r-1))/sqrt(r(r+1))) is equal to

sum_(r=1)^(n)sin^(-1)((sqrt(r)-sqrt(r-1))/(sqrt(r(r+1)))) is equal to

If r is positive real number such that 4sqrt(r)-(1)/(4sqrt(r))= 4, then find the value of 6sqrt(r)+(1)/(6sqrt(r)).