sqrt(4s^(2)-4s+1)

Find lim_(n rarr oo)S_(n); if S_(n)=(1)/(2n)+(1)/(sqrt(4n^(2)-1))+(1)/(sqrt(4n^(2)-4))+......+(1)/(sqrt(3n^(2)+2n-1))

If S={x in N:2+(log)_(2)sqrt(x+1)>1-(log)_((1)/(2))sqrt(4-x^(2))}, then (a)S={1}(b)S=Z(d)S=N(d) none of these

Find the zeros of polynomial g(s)=4s^(2)-4s+1 and verify the relationship between the zeros and their coefficients:

Let S=Sigma_(n=1)^(999) (1)/((sqrt(n)+sqrt(n+1))(4sqrt(n)+4sqrtn+1)) , then S equals ___________.

If S={x in N :2+(log)_2sqrt(x+1)>1-(log)_(1/2)sqrt(4-x^2)} , then (a)S={1} (b) S=Z (c) S=N (d) none of these

If S={x in N :2+(log)_2sqrt(x+1)>1-(log)_(1/2)sqrt(4-x^2)} , then S={1} (b) S=Z (d) S=N (d) none of these

If S={x in N :2+(log)_2sqrt(x+1)>1-(log)_(1/2)sqrt(4-x^2)} , then (a) S={1} (b) S=Z (d) S=N (d) none of these

The area bounded by the curve y^2=1-x and the lines y=(|x|)/x ,x=-1,a n dx=1/2i s 3/(sqrt(2))-(11)/6s qdotu n i t s (b) 3sqrt(2)-(11)/4s qdotu n i t s 6/(sqrt(2))-(11)/5s qdotu n i t s (d) none of these

A particle is moving in a straight line and its velocity varies with its displacement as v=sqrt(4+4s) m/s. Assume s=0 at t=0. find the displacement of the particle in metres at t=1s.